sqrt{frac{0.256 times 0.081 times 4.356}{1.56 | vedclass

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Question

(D) To solve the expression $\sqrt{\frac{0.256 	imes 0.081 	imes 4.356}{1.5625 	imes 0.0121 	imes 129.6 	imes 64}}$,first adjust the decimal poin

Vedclass · Accepted Answer

$0.024$

Vedclass · Answer

(D) To solve the expression $\sqrt{\frac{0.256 	imes 0.081 	imes 4.356}{1.5625 	imes 0.0121 	imes 129.6 	imes 64}}$,first adjust the decimal points.The numerator has $3 + 3 + 3 = 9$ decimal places,and the denominator has $4 + 4 + 1 + 0 = 9$ decimal places.Since the number of decimal places is equal,we can remove the decimals:$= \sqrt{\frac{256 	imes 81 	imes 4356}{15625 	imes 121 	imes 1296 	imes 64}}$Now,calculate the square roots of the individual numbers:$= \frac{\sqrt{256} 	imes \sqrt{81} 	imes \sqrt{4356}}{\sqrt{15625} 	imes \sqrt{121} 	imes \sqrt{1296} 	imes \sqrt{64}}$$= \frac{16 	imes 9 	imes 66}{125 	imes 11 	imes 36 	imes 8}$Simplify the fraction:$= \frac{16 	imes 9 	imes 66}{125 	imes 11 	imes 36 	imes 8} = \frac{144 	imes 66}{1375 	imes 288} = \frac{9504}{396000} = 0.024$

$\sqrt{\frac{0.256 \times 0.081 \times 4.356}{1.5625 \times 0.0121 \times 129.6 \times 64}} = ?$

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