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Squares and Square Roots — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsSquares and Square Roots3 Marks
Question
Evaluate:
$\sqrt{98}\times\sqrt{162}$
✓

Answer

$\sqrt{98}\times\sqrt{162}$
$=\sqrt{98\times162}$
$=\sqrt{2\times7\times7\times2\times3\times3\times3\times3}$
$=\sqrt{\overline{2\times2}\times\overline{7\times7}\times\overline{3\times3}\times\overline{3\times3}}$
$=2\times7\times3\times3$
$=126$
$\begin{array}{c|c}2&98\\\hline7&29\\\hline7&7\\\hline&1\end{array}$
$\begin{array}{c|c}2&162\\\hline3&81\\\hline3&27\\\hline3&9\\\hline3&3\\\hline&1\end{array}$

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