sqrt{frac{0.324 times 0.081 times 4.624}{1.56 | vedclass

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Question

(C) Given expression $= \sqrt{\frac{0.324 	imes 0.081 	imes 4.624}{1.5625 	imes 0.0289 	imes 72.9 	imes 64}}$First,count the decimal places in th

Vedclass · Accepted Answer

$0.024$

Vedclass · Answer

(C) Given expression $= \sqrt{\frac{0.324 	imes 0.081 	imes 4.624}{1.5625 	imes 0.0289 	imes 72.9 	imes 64}}$First,count the decimal places in the numerator and denominator.Numerator: $3 + 3 + 3 = 9$ decimal places.Denominator: $4 + 4 + 1 + 0 = 9$ decimal places.Since the number of decimal places is equal,we can remove the decimals:$= \sqrt{\frac{324 	imes 81 	imes 4624}{15625 	imes 289 	imes 729 	imes 64}}$Now,calculate the square roots of the individual numbers:$= \frac{\sqrt{324} 	imes \sqrt{81} 	imes \sqrt{4624}}{\sqrt{15625} 	imes \sqrt{289} 	imes \sqrt{729} 	imes \sqrt{64}}$$= \frac{18 	imes 9 	imes 68}{125 	imes 17 	imes 27 	imes 8}$Simplify the fraction:$= \frac{18 	imes 9 	imes 68}{125 	imes 17 	imes 27 	imes 8} = \frac{11016}{459000} = \frac{3}{125} = 0.024$

$\sqrt{\frac{0.324 \times 0.081 \times 4.624}{1.5625 \times 0.0289 \times 72.9 \times 64}} = ?$

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