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Squares and Square Roots — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsSquares and Square Roots3 Marks
Question
Evaluate $\frac{\sqrt{48}}{\sqrt{243}}$
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Answer

$\frac{\sqrt{48}}{\sqrt{243}}$
$=\sqrt{\frac{48}{243}}$
$=\sqrt{\frac{2\times2\times2\times2\times3}{3\times3\times3\times3\times3}}$
$=\frac{\sqrt{2\times2\times2\times2}}{\sqrt{3\times3\times3\times3}}$
$=\frac{2\times2}{3\times3}$
$=\frac{4}{9}$

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