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8 and -8.
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What are square roots of 64?
The square roots of 64 are +8 and -8.
Is negative 64 square root of an integer?
Negative 64 is the square root of an integer. The square root of -64 is not an integer.
What is the square root of negative 72?
There is no real number multiplied by itself that equals -72, or any negative number, for that matter. In fact there are no even roots of negative numbers. However, odd roots of negative numbers are entirely possible. For instance, the cube root of -64 is -4 ... rather, ( -4 ) ( -4 ) ( -4 ) = -64
What is positive 8 and and negative 8 equals?
negative 64
Why do square roots come in pairs but cubed roots don't?
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.
What are the square roots of 64?
The square roots of any positive number are the positive and negative number which can be multiplied together to make that number. In this instance, sqrt(64) = ±8.
Why does every positive have two square roots?
Because two negative numbers when multiplied together make a positive number. Second, two positive numbers multiplied together make a positive number. Here is an example: What is the square root of 64? 8 X 8 = 64 -8 X -8 = 64 So the two square roots of 64 are 8 and -8.
Explain why the square root of 64 has a positive and a negative value?
That simply means that there is both a positive and a negative number which, when squared, gives you 64.
What are square roots of 64?
The square roots of 64 are +8 and -8.
Why does the square root of 64 have a positive and negative value?
Since 8x8 = 64 and (-8)x(-8) is also = 64
What is the principle square root of 64?
The principle square root of 64 is ±8.8.* * * * *The square roots of 64 are +8 and -8.The PRINCIPAL square root is the positive root, +8.So, the answer to the question that was asked is +8 not ±8.
Is the square of -8 a rational number?
The square of a negative number is always positive. The square of -8 = 64, a rational number
Is negative 64 square root of an integer?
Negative 64 is the square root of an integer. The square root of -64 is not an integer.
Square roots of the number 64?
The square root(s) of 64: ± 8
What is the square root of negative 72?
There is no real number multiplied by itself that equals -72, or any negative number, for that matter. In fact there are no even roots of negative numbers. However, odd roots of negative numbers are entirely possible. For instance, the cube root of -64 is -4 ... rather, ( -4 ) ( -4 ) ( -4 ) = -64
Is 64 a negative number?
No. 64 is a positive number.
What are two square roots for 9?
what is the square root for 64
