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Question
State whether the following numbers are rational or not:
$$ \left(\dfrac{3}{2 \sqrt{2}}\right)^{2} $$
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Solution
Verified by Toppr
$$ \left(\dfrac{3}{2 \sqrt{2}}\right)^{2}=\dfrac{(3)^{2}}{(2 \sqrt{2})^{2}}=\dfrac{9}{4 \times 2}=\dfrac{9}{8} $$
$$ \therefore $$ its rational number
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