Question

What is the radical form of the expression a5/2

Answer 1

`a^{(5)/(2)} = a^(2)√(a)`

Explanation:

Given:

Given expression is.

`= a^{(5)/(2)}`

We need to write the given expression in radical form.

Solution:

Rewrite the expression as.

`= a^{(5)/(2)}`

Now we extract power as
`(a^(m))^{(1)/(n) }=a^{(m)/(n)}`

`=(a^(5))^{(1)/(2) }`

Now we write the above expression in radical form and simplify.

`=\sqrt[2]{(a^(5))}`

`=\sqrt[2]{(a* a)* (a* a)* a}`

`=\sqrt[2]{a^(2)* a^(2)* a }`

`= a* a* \sqrt[2]{a}`

`= a^(2)* \sqrt[2]{a}`

`a^{(5)/(2)} = a^(2)√(a)`

Therefore, the radical form of the given expression
`a^{(5)/(2)} = a^(2)√(a)`