Question

What is the radical form of the expression a5/2

Answer 1

Answer:

$a^{\frac{5}{2}} = a^{2}\sqrt{a}$

Step-by-step explanation:

Given:

Given expression is.

$= a^{\frac{5}{2}}$

We need to write the given expression in radical form.

Solution:

Rewrite the expression as.

$= a^{\frac{5}{2}}$

Now we extract power as $(a^{m})^{\frac{1}{n} }=a^{\frac{m}{n}}$

$=(a^{5})^{\frac{1}{2} }$

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

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

$=\sqrt[2]{(a\times a)\times (a\times a)\times a}$

$=\sqrt[2]{a^{2}\times a^{2}\times a }$

$= a\times a\times \sqrt[2]{a}$

$= a^{2}\times \sqrt[2]{a}$

$a^{\frac{5}{2}} = a^{2}\sqrt{a}$

Therefore, the radical form of the given expression $a^{\frac{5}{2}} = a^{2}\sqrt{a}$