Question

What is the square root of 16x^ 36?

Answer 1

Note that $\sqrt[2]{x}=x^{\frac{1}{2}}$

$\sqrt[2]{16x^{36}}=\sqrt[2]{4^2x^{18\cdot2}}$

$4^{2\cdot\frac{1}{2}}x^{18\cdot2\cdot\frac{1}{2}}=4^{\frac{2}{2}}x^{\frac{18\cdot2}{2}}$

$\boxed{4x^{18}}$

Hope this helps.

r3t40