InterviewSolution
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InterviewSolution
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Evaluate `sqrt(((76.24)^(5) xx root(3)(65))/((3.2)^(7) xx sqrt(17)))`. |
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Answer» Let `x = sqrt(((76.24)^(5) xx root(3)(65))/((3.2)^(7) xx sqrt(17)))`. Then, log `x = 1/2 * log {((76.24)^(5) xx (65)^(1/3))/((3.2)^(7) xx (17)^(1/2))}` `= 1/2 * {5 log (76.24) + 1/3 log 65 - 7log (3.2) - 1/2 log 17}` `= 1/2 * {5 xx 1.8822 + 1/3 xx 1.8129 - 7 xx 0.5051 - 1/2 xx 1.2304}` `= 1/2 * {9.4110 + 0.6043 - 3.5357 - 0.6152}` `= 1/2 xx (10.0153 - 4.1509) = 1/2 xx 5.8644 = 2.9322` `rArr` x = antilog (2.9322) = 855.5. Hence, the required value of the given expression is 855.5. |
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