State whether the following number is rational or irrational: ( 5… - Vidyadip

Question

State whether the following number is rational or irrational$:\left(\frac{\sqrt{5}}{3 \sqrt{2}}\right)^2$

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Answer

$\left(\frac{\sqrt{5}}{3 \sqrt{2}}\right)^2 $
$=\frac{5}{9 \times 2} $
$=\frac{5}{18},$
which is rational

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