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Q: What is the sign of the cube root of a positive number?

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If unspecified, the square root is the principal root, which is the positive root.

It is the principal square root.

The radical symbol, otherwise known as the "square root sign", lets you take the nth root of any number.Any number can be placed above, and slightly to the left, of the square root sign, to indicate the nth root. For example, the cube root of 27 is 3.The number inside the square root sign (that which you are finding the square root of), is called the radicand.

The square of a negative number is the same as the square of its positive counterpart, aka its additive inverse ( [-2]2 = 22 = 4), so every positive number has two square roots, a positive one and negative one (both 2 and -2 are square roots of 4). However, the cube of any number will always have the same sign as the original number (23 = 8, [-2]3 = -8). This all follows from simple arithmetic with signs. The product of any two negative numbers is positive, as is the product of any two positive numbers, while the product of a negative number and a positive number is negative. All squares, by definition, are the product of either two positive numbers or two negative numbers, and in either case, the product must be positive. But a cube is the product of a number and its square (x3 = x * x * x = x2 * x). But we already know that the square must be positive, whether original number is positive or negative. So the sign of the original number determines the sign of the cube (because a positive number times a positive number is positive and a positive number times a negative number is negative). If you apply that rule in reverse, then the sign of the cube root must be the same as the sign of the number you are taking the cube root of. Think of it this way. If you are trying to calculate the square root of a number, y, you are looking for another number, x, for which it is true that x * x = y. For any positive number y, there are always two values of x that satisfy that equation, with one being positive and the other being negative, but both having the same absolute value. And therefore, every positive number has two square roots. On the other hand, if you are trying to find the cube root of a number, y, you are looking for a number, z, for which it is true that z * z * z = y. For any number, y, either positive or negative, there will be only one value of z that satisfies that equation. Therefore, every number, positive or negative, has just one cube root. Actually, technically, once you get into higher mathematics, what is really going on is that every number has 3 cube roots, but they all just happen to have the same value. In fact, for any "degree" of root (square root, cube root, 4th root, 5th root, ... 100th root, ...) the number of roots of a number is exactly equal to the degree of the root (a number will have 4 4th roots, 5 5th roots, 10 10th roots, 99 99th roots, etc.) But, if the degree of the root is odd, then all of the roots will have the same value, while if the degree is even, the roots will be evenly split between two values that are the additive inverses of each other. For example, the 5th roots of -243 are -3, -3, -3, -3, and -3, while the 6th roots of 64 are 2, 2, 2, -2, -2, and -2. Note also that negative numbers cannot have any roots of any even degree (square roots, 4th roots, 6th roots, etc.) Actually, even that's not true when you get into really advanced math. Even negative numbers have even-degree roots, it's just that the roots are not real numbers. They are "imaginary" numbers. This is, I'm sure, way beyond your level of education in mathematics, and I'm not trying to confuse you. But if I hadn't included these last two paragraphs, some wise-guy mathematician would come along and "correct" me, and in the process probably confuse you even more. For your purposes, however, just ignore the last two paragraphs.

Find the positive square root and put a minus sign in front of it.

The sign that is used for the square root is actually a root sign: the little 2 before it denotes that it is the square root. A little 3 would indicate it is a cube root, a little 4 that it is a fourth root and so on. However, conventionally, if no number is shown, it may be assumed that it is the square root.

It is the RADICAL SIGN , its definition is - the symbol used to indicate a nonnegitive square root.

Say the monomial is 4a squared. To find the square root to must do each part seperately. So square root of 4 is 2 and the square root of a-squared is |a| because we do not know the sign of a. The answer is 2|a|. If there is anything that cannot be "square rooted" then it would stay under a square root sign and just multiply by 2a as well. The principal root of a number is only its positive root (you can understand that you are looking for the principal root from the sign in front of the radical, which is a positive one)

It would be a positive number. A negative number divided by a negative number would be positive. A positive number divided by a positive number would also be positive. So, the quotient of 2 integers with the same sign will be a positive number, regardless of which sign the two numbers had.

If "a" is positive, it will have two fourth roots, one will be positive and one will be negative it will have one fifth root, which will be positive. If "a" is negative, it will have one fourth root, which will be negative. it will have one fifth root, which will be negative.

No. It is already indicated that it is positive without the positive sign on the number.

+ is used to mean positive. No sign on a number also means the number is positive. Example +5 = 5 .

It means it is a different kind of root, such as a cubic root, which has a three above the square root symbol ('radical sign'). If y is the square root of x, it means that y2 = x. So the square root of 4 is 2, and 22 is 4. If y is the cube root of x, it means that y3 = x. So the cube root of 8 is 2, and 23 = 8.

if you mean the cubed root, the answer is 6. i would show you the calculations but unfortunately i have no idea how to do a cubed root sign. :S :)

It can be an exponent (if you find it after your number) or a root (if you find it in the bend of the square root sign. In the square root sign that goes over a number, if there is nothing in the bend (or the "V") of the sign, then the sign indicates the square root of the number under the "roof" of the sign. If there IS a number in the "V", for instance 3, it means the cube root of the number under the roof; a 4 in the V means the fourth root, and so on. Think of a number under the roof of the square root sign as yielding the opposite value from the same number with an exponent of 2. If you put a number with an exponent of 2 under a square root sign, the result will be your original number: in other words, the square root of 2 squared is 2. If you want to express a square root without the square root sign, you could simply give your number an exponent of the RECIPROCAL of two (e.g. 9-1/2), which equals 3. In words, this means nine to the one-half power equals the square root of nine, equals 3.x2 -- the 2 is called a subscript which here means the second value of x, usually after being changed by a function, or perhaps it indicates the second value of x that will be used in your calculationx2 -- the 2 is called a superscript (or "power") which here means x to the second power (x squared).

The square root is generally positive or negative and it is only the context of the question that will tell you whether it is the positive root or the negative root. For example, if you are solving for the lengths of the sides of a square, a negative measure makes no sense so it must be the positive root.

The product of a positive and negative number is always negative The sum of a positive and negative number depends on which one is larger; subtract the two numbers and take the sign of the larger

If a number doesn't have a sign, you can generally assume that it is positive.

The sign of the sum is the same as the sign of whichever original number is larger.

The answer will always be Negative in Sign. If they are the same sign, it will always be Positive in Sign.

Square rootsTo find the square root of a number, you want to find some number that when multiplied by itself gives you the original number. In other words, to find the square root of 25, you want to find the number that when multiplied by itself gives you 25. The square root of 25, then, is 5. The symbol for the square root is . Following is a partial list of perfect (whole number) square roots.Note: If no sign (or a positive sign) is placed in front of the square root, the positive answer is required. No sign means that a positive is understood. Only if a negative sign is in front of the square root is the negative answer required.A fraction, or fractional number, is used to represent a part of a whole. Fractions consist of two numbers: a numerator (which is above the line) and a denominator(which is below the line).So to work out the square root of a fraction you find the square root of the numerator and put it above the square root of the denominator.

The 2 positive integers don't affect the sign. Every time you multiply by a negative number, the sign changes, so you have negative, positive, negative, positive... Since the number of negative numbers is odd, the end result is negative.The 2 positive integers don't affect the sign. Every time you multiply by a negative number, the sign changes, so you have negative, positive, negative, positive... Since the number of negative numbers is odd, the end result is negative.The 2 positive integers don't affect the sign. Every time you multiply by a negative number, the sign changes, so you have negative, positive, negative, positive... Since the number of negative numbers is odd, the end result is negative.The 2 positive integers don't affect the sign. Every time you multiply by a negative number, the sign changes, so you have negative, positive, negative, positive... Since the number of negative numbers is odd, the end result is negative.

The sign of the answer will always be a positive number because subtracting a negative is the same as adding a positive (

No. Any number of positive factors will lead to a positive product.

you change the minus to a positive and change the 2nd positive number to a negative number..the answer can be either negative or positive depending on the sign of the greatest number(: