Question

Write the radical into exponential form √8

Answer 1

Answer:

$its \: value \: is \: 2(if \: we \: take \: cube \: root)and \\ \: 2 \sqrt{2} \: \:( if \: we \: take \: square \: root) \\ \\ radical \: form \\ \\ \sqrt{8} = 2 \times 2 {}^{ \frac{1}{2} }$

Answer 2

Answer:

$\sqrt{8} = 8^{\frac{1}{2}}$

Step-by-step explanation:

Definition of fractional exponent:

$a^{\frac{m}{n}} = \sqrt[n]{a^m} = (\sqrt[n]{a})^m$

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

$\sqrt[n]{a^m} = a^{\frac{m}{n}}$

$\sqrt[2] {8^1} = 8^{\frac{1}{2}}$

$\sqrt{8} = 8^{\frac{1}{2}}$