The value of: sqrt{frac{0.324 times 0.081 tim | vedclass

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Question

(B) To solve the expression,first remove the decimals by adjusting the powers of $10$ in the numerator and denominator.$\sqrt{\frac{0.324 	imes 0.081

Vedclass · Accepted Answer

$0.024$

Vedclass · Answer

(B) To solve the expression,first remove the decimals by adjusting the powers of $10$ in the numerator and denominator.$\sqrt{\frac{0.324 	imes 0.081 	imes 4.624}{1.5625 	imes 0.0289 	imes 72.9 	imes 64}} = \sqrt{\frac{324 	imes 10^{-3} 	imes 81 	imes 10^{-3} 	imes 4624 	imes 10^{-3}}{15625 	imes 10^{-4} 	imes 289 	imes 10^{-4} 	imes 729 	imes 10^{-1} 	imes 64}}$$= \sqrt{\frac{324 	imes 81 	imes 4624 	imes 10^{-9}}{15625 	imes 289 	imes 729 	imes 64 	imes 10^{-9}}}$$= \sqrt{\frac{324 	imes 81 	imes 4624}{15625 	imes 289 	imes 729 	imes 64}}$$= \sqrt{\frac{18^2 	imes 9^2 	imes 68^2}{125^2 	imes 17^2 	imes 27^2 	imes 8^2}}$$= \frac{18 	imes 9 	imes 68}{125 	imes 17 	imes 27 	imes 8}$$= \frac{11016}{459000} = 0.024$

The value of: $\sqrt{\frac{0.324 \times 0.081 \times 4.624}{1.5625 \times 0.0289 \times 72.9 \times 64}}$

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