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Real Numbers — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsReal Numbers1 Mark
Question
Multiply and write the answer in the simplest form : $3 \sqrt{12} \times 7 \sqrt{15}$
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Answer

$\begin{aligned} 3 \sqrt{12} \times 7 \sqrt{15} & =3 \times \sqrt{4 \times 3} \times 7 \times \sqrt{5 \times 3} \\ & =3 \times 2 \sqrt{3} \times 7 \sqrt{5} \times \sqrt{3} \\ & =3 \times 2 \times 7 \times \sqrt{3} \times \sqrt{3} \times \sqrt{5} \\ & =42 \times 3 \times \sqrt{5} \\ & =126 \sqrt{5} \\ \therefore \quad 3 \sqrt{12} \times 7 \sqrt{15} & = 1 2 6 \sqrt{5}\end{aligned}$

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