Square and Cube Roots

Square Root:

The square root of a number is a value that, when multiplied by itself, gives the number or a number which produces a specified quantity when multiplied by itself.

Example: 4 × 4 = 16, so the square root of 16 is 4. The symbol is √ Another example: √36 = 6 (because 6 x 6 = 36).

Cube Root:

The cube root of a number is a special value that, when used in a multiplication three times, gives that number or the number which produces a given number when cubed.

Example: 3 × 3 × 3 = 27, so the cube root of 27 is 3.

2

What should come in place of both x in the equation\({x\over \sqrt{128}} = {\sqrt{162} \over x}\)

3

The least perfect square, which is divisible by each of 21, 36 and 66 is:

5

if \(3\sqrt{5} + \sqrt{125} = 17.88, \)then what will be the value of \(\sqrt{80}+ 6\sqrt{5}\) ?