What is the radical form of the expression a5/2

Question

asked Dec 22, 2021 56.0k views

1 Answer

Wzazza · Answer 1 · 2021-12-27T20:59:40+0000

Answer:

$a^{(5)/(2)} = a^(2)√(a)$

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
$a^{(5)/(2)} = a^(2)√(a)$