Square root questions and answers

Typical questions about roots and square roots

– How to multiply square roots	$\boxed{\sqrt{a}\cdot{\sqrt{b}}=\sqrt{a\cdot{b}}}$
– How to divide square roots	$\boxed{\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}}$
– How to add square roots	$\boxed{\sqrt{a}+\sqrt{b}=\sqrt{a}+\sqrt{b}}$
– How to subtract square roots	$\boxed{\sqrt{a}-\sqrt{b}=\sqrt{a}-\sqrt{b}}$
– How to convert a square root to exponent	$\boxed{\sqrt{a}={a}^\frac{1}{2}}$
– How to convert a root to exponent	$\boxed{\sqrt[n]{a^m}={a}^\frac{m}{n}}$
– How to calculate the square root of other square root	$\boxed{\sqrt{\sqrt{a}}=\sqrt{a^{\frac{1}{2}}}=(a^{\frac{1}{2}})^{\frac{1}{2}}=a^{\frac{1}{4}}=\sqrt[4]{a}}$
– How to simplify a square root	$\boxed{\sqrt{a^3\cdot{b^2}\cdot{c^5}}=a\cdot{b}\cdot{c^2}\cdot{\sqrt{a\cdot{c}}}}$