Question

What is the expression in radical form? (5ab)3/2

Answer 1

It would be a x/n = n √a^x

Hope this helps

Answer 2

The required radical form is
`(5ab)^{(3)/(2)}=5ab\sqrt[2]{5ab}`

Explanation:

Given : Expression
`(5ab)^{(3)/(2)}`

To find : What is the expression in radical form?

Solution :

Radical form is writing number into square root , cubic form.

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

Expression
`(5ab)^{(3)/(2)}`

Re-write it as,

`(5ab)^{(3)/(2)}=\sqrt[2]{(5ab)^3}`

`(5ab)^{(3)/(2)}=\sqrt[2]{5^3a^3b^3}`

`(5ab)^{(3)/(2)}=\sqrt[2]{5^2a^2b^25ab}`

`(5ab)^{(3)/(2)}=5ab\sqrt[2]{5ab}`

Therefore, The required radical form is
`(5ab)^{(3)/(2)}=5ab\sqrt[2]{5ab}`