Question

Which of these represents the simplest form of $\sqrt[4]{45^2}$?

• A. $5^2$
• B. $\frac{1}{5^2}$
• C. $5^{\frac{1}{2}}$
• D. $\frac{1}{5^{\frac{1}{2}}}$

Answer 1

The correct option is C $5^{\frac{1}{2}}$

$\sqrt[4]{45^2}=(5^2{)}^{\frac{1}{4}}$
$=5^{2\times \frac{1}{4}}$
$=5^{\frac{1}{2}}$
So, option (3) is correct.