Question

Write the radical into exponential form √8

Answer 1

`√(8) = 8^{(1)/(2)}`

Explanation:

Definition of fractional exponent:

`a^{(m)/(n)} = \sqrt[n]{a^m} = (\sqrt[n]{a})^m`

In this case, a = 8; m = 1; n = 2.

`\sqrt[n]{a^m} = a^{(m)/(n)}`

`\sqrt[2] {8^1} = 8^{(1)/(2)}`

`√(8) = 8^{(1)/(2)}`

Answer 2

`its \: value \: is \: 2(if \: we \: take \: cube \: root)and \\ \: 2 √(2) \: \:( if \: we \: take \: square \: root) \\ \\ radical \: form \\ \\ √(8) = 2 * 2 {}^{ (1)/(2) }`