Question

What is the radical form of each of the given expressions?

Drag the answer into the box to match each expression.

CHOICES IN IMAGE BELOW!! Thank you in advance <3

Answer 1

2^1/2 = √2
2^2/3 = ∛2^2
3^3/2 = √3^3
3^1/3 = ∛3

hope it helps

Answer 2

ANSWER

The radical form of the expression

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

`n = 2 \: or \: m = 1`
are not written explicitly. However, greater values are written explicitly.

So, for
`{2}^{ (1)/(2) }`


`n=2, m=1`



This implies that, we will just write

`{2}^{ (1)/(2) } = √(2)`



for
`{2}^{ (2)/(3) }`


`n=3, m=2`

This implies that,


`{2}^{ (2)/(3) } = \sqrt[3]{ {2}^(2) }`


Similarly,


`{3}^{ (3)/(2) } = \sqrt{ {3}^(3) }`


`{3}^{ (1)/(3) } = \sqrt[3]{ {3}}`