# 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

$\boxed{\sqrt{a^3\cdot{b^2}\cdot{c^5}}=a\cdot{b}\cdot{c^2}\cdot{\sqrt{a\cdot{c}}}}$

## Exercises of square root

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