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\(\sqrt[4]{81} - 8 \times \sqrt[3]{216} + 15\sqrt[5]{32} + \sqrt{225}\) = ......................

4√81 - 8 x 3√216 + 15 5√32 + − √225 = ......

A) 3

B) 2 

C) 0 

D) 1.........

2 Answers

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Best answer

Correct option is (C) 0

\(\sqrt[4]{81}-8\times\sqrt[3]{216}+15\sqrt[5]{32}+\sqrt{225}\)

\(=(3^4)^\frac14-8\times(6^3)^\frac13+15(2^5)^\frac15+(15^2)^\frac12\)

\(=(3)^{4\times\frac14}-8\times(6)^{3\times\frac13}+15(2)^{5\times\frac15}+(15)^{2\times\frac12}\)

\(=3-8\times6+15\times2+15\)

= 3 - 48 + 30 + 15

= 48 - 48 = 0

+1 vote
by (38.9k points)

Correct option is  C) 0

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