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Equations Reducible to a Pair of Linear Equations in Two Variables

If x=√322×√...

Question

If $x = {(\frac{\sqrt{3}}{2})}^{2} \times {(\frac{\sqrt{5}}{2})}^{2}$ then find value of $100 x$ .

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Solution

$x = \frac{3}{4} \times \frac{5}{4} = \frac{15}{16}$
$100 x = \frac{25 \times 15}{4} = \frac{375}{4}$

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Equations Reducible to a Pair of Linear Equations in Two Variables

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