Multiply and write the answer in the simplest form : 3 12 18 - Vidyadip

Question

Multiply and write the answer in the simplest form : $\quad 3 \sqrt{12} \times \sqrt{18}$

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Answer

$\quad \begin{aligned} 3 \sqrt{12} \times \sqrt{18} & =3 \times \sqrt{4 \times 3} \times \sqrt{9 \times 2} \\ & =3 \times 2 \sqrt{3} \times 3 \sqrt{2} \\ & =3 \times 2 \times 3 \times \sqrt{3} \times \sqrt{2} \\ & =18 \sqrt{6} \\ \therefore \quad 3 \sqrt{12} \times \sqrt{18} & =18 \sqrt{6}\end{aligned}$

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