Question

simplify 3root6 *2root6 / root3

Answer 1

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Answer 2

Question:

Simplify: $\frac{3\sqrt{6}*2\sqrt{6} }{\sqrt{3}}$

Answer:

When two square roots are multiplied then the square root comes over the product of the numbers and any other number out of the root are multiplied normally. When roots are divided then rationalization is done to remove the root from denominator.

$\frac{3\sqrt{6}*2\sqrt{6} }{\sqrt{3}}\\\frac{6\sqrt{36}}{\sqrt{3}}\\\frac{6*6}{\sqrt{3}}\\\frac{36}{\sqrt{3}}\\\frac{36}{\sqrt{3}}*\frac{\sqrt{3}}{\sqrt{3}}\\\frac{36\sqrt{3}}{3}$

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