Question

What radical is 2^3/2 equal to?

Answer 1

Remember the following, which will help with this subject:

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

Using this property, we can say the following:

$2^\frac{3}{2} = \sqrt{2^3} = \sqrt{8}$

The answer is $\boxed{\sqrt{8}}$.

Answer 2

Answer:

$\sqrt{2^3}=2\sqrt{2}$.

Step-by-step explanation:

We are asked to write $2^{\frac{3}{2}$ as a radical.

We will use exponent property for radicals $\sqrt[n]{a^m}=a^{\frac{m}{n}}$ to rewrite our expression as a radical.

We can see that value of a is 2, value of m is 3 and value of n is 2, so our given expression as a radical would be:

$2^{\frac{3}{2}}=\sqrt[2]{2^3}$

$2^{\frac{3}{2}}=\sqrt{2^3}$

$2^{\frac{3}{2}}=\sqrt{2^2\cdot 2}$

$2^{\frac{3}{2}}=2\sqrt{2}$

Therefore, our required radical is $\sqrt{2^3}=2\sqrt{2}$.