What Is The Real Cube Root Of Negative 64?

The cube root of -64 is written as

3√−64=−4

.

What is the real cube root of 64?

The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) =

4

.

Can a real cube root be negative?

There is one interesting fact about cube roots that is not true of square roots.

Negative numbers can’t have real number square roots

, but negative numbers can have real number cube roots! … Remember, when you are multiplying an odd number of negative numbers, the result is negative!

What is the cube root of a negative real number?

The Real cube root of any negative Real number is

negative

.

Is negative 64 a perfect cube?

A perfect cube is a number that is the cube of an integer. Some other examples of perfect cubes are 1, 8, 27, 64, 125, 216, 343, …

Which statement is true if A is the third root of 64?

The 3rd root of 64, or 64 radical 3, or the cube root of 64 is written as 3√64=4. The 3rd root of -64, or -64 radical 3, or the cube root of -64 is written as 3√−64=−4. The cube root of 8 is written as 3√8=2.

What is the cube roots of 1000?

The value of the cube root of 1000 is

10

.

Is cube root Plus or minus?

Unlike a square root, the result of

a cube root can be any real number: positive, negative, or zero

. Also different from a square root is the domain restriction on the radicand: the radicand of a cube root can be negative while still achieving a real result for the cube root.

How do you find the cube root of 9261?

1. The cube of any number is the number that we get when a number is multiplied by itself twice. …
2. The cube root of 9261 is that number which when multiplied by itself twice gives 9261 as the answer. …
3. 21 x 21 x 21 = 441 x 21 = 9261.
4. There are multiple ways to arrive at an answer to this question.

What is the cube of negative 1?

-1 is the cube of itself

. Similarly, (-2)

³

= -2 x -2 x -2 = -8.

What are the cube roots of 1?

The value of the cube root of 1 is

1 itself

. It is the real solution of the equation x

³

= 1. The cube root of 1 is expressed as ∛1 in radical form and as (1)

^1⁄3

or (1)

^{0 . 33}

in the exponent form.

What is a cube root of 729?

The value of the cube root of 729 is

9

.

Can perfect cubes be negative?

Yes,

perfect cube numbers can be both positive and negative

. For example, -125 is also a perfect cube since it is obtained by multiplying -5 three times. In other words, -5 × -5 × -5 = -125. Therefore, negative numbers can also be perfect cube numbers.

Is 8 a perfect cube?

A perfect cube is a number which is equal to the number, multiplied by itself, three times. … For example, 8

is a perfect

cube because

³

√8 = 2.

Is 64 a perfect square?

Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are

all square

numbers.