Square root questions

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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