sqrt{frac{96.8}{0.578}} = ? | vedclass

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Question

(C) To solve $\sqrt{\frac{96.8}{0.578}}$,first remove the decimals by multiplying the numerator and denominator by $1000$:$\sqrt{\frac{96.8 	imes 100

Vedclass · Accepted Answer

$12 \frac{16}{17}$

Vedclass · Answer

(C) To solve $\sqrt{\frac{96.8}{0.578}}$,first remove the decimals by multiplying the numerator and denominator by $1000$:$\sqrt{\frac{96.8 	imes 1000}{0.578 	imes 1000}} = \sqrt{\frac{96800}{578}}$Divide both the numerator and denominator by $2$:$\sqrt{\frac{48400}{289}}$Calculate the square root of the numerator and denominator separately:$\sqrt{48400} = 220$ and $\sqrt{289} = 17$So,the fraction is $\frac{220}{17}$.Convert the improper fraction to a mixed number:$220 \div 17 = 12$ with a remainder of $16$.Thus,the result is $12 \frac{16}{17}$.

$\sqrt{\frac{96.8}{0.578}} = ?$

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