How does finding the square root of a number compared to finding the cube root of a number? Use the number 64 in your explanation.

Solution:

The square root of a number is that number which when multiplied by itself two times gives us that number.

Example:

Let us use the square root of 64.

√64 = x , so that (x)(x) = 64

We know that, (8)(8) = 64

∴ √64 = 8

The cube root of a number is that number which when multiplied by itself three times gives us that number.

Example:

Let us use the square root of 64

∛64 = x , so that (x)(x)(x) = 64 ,

We know that, 4 x 4 x 4 = 64

∴ ∛64 = 4

How does finding the square root of a number compared to finding the cube root of a number? Use the number 64 in your explanation.

Summary:

The square root of a number is a value, which on multiplication by itself gives the original number and the Cube root of a number is a value which when multiplied by itself thrice produces the original value.