A) 0.14
B) 1.4
C) 1
D) 1.4
Correct Answer: D
Solution :
Given expression \[=\frac{{{(625)}^{\frac{1}{2}}}\times {{(0.00144)}^{\frac{1}{2}}}+1}{{{(0.027)}^{\frac{1}{3}}}\times {{(81)}^{\frac{1}{4}}}}\] \[=\frac{{{(2.5)}^{2\times \frac{1}{2}}}\times {{(0.12)}^{2\times \frac{1}{2}}}+1}{{{(0.3)}^{3\times \frac{1}{3}}}\times {{(3)}^{4\times \frac{1}{4}}}}=\frac{2.5\times 0.12+1}{0.3\times 3}=\frac{0.3+1}{0.9}\]\[=\frac{1.3}{0.9}=\frac{13}{9}=1.44...=1.\overline{4}\]You need to login to perform this action.
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