$\frac{\sqrt{x}}{16}=\frac{15}{8};\ x=?$

Academic Mathematics NCERT Class 8

Given: Expression: $\frac{\sqrt{x}}{16}=\frac{15}{8};\ x=?$

To do: To find the value of $x$.

Solution:

Given expression: $\frac{\sqrt{x}}{16}=\frac{15}{8}$

$\Rightarrow \sqrt{x}=\frac{15}{8}\times16$

$\Rightarrow \sqrt{x}=15\times2$

$\Rightarrow \sqrt{x}=30$

$\Rightarrow (\sqrt{x})^2=30^2$ [On squaring both sides]

$\Rightarrow x=900$

Thus, $x=900$.

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Updated on: 10-Oct-2022

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