Question

simplify the following expression​

Answer 1

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Answer 2

Answer:

$( \frac{1}{2} )^{ - 2}+( \frac{2}{3})^{ - 2} + ( \frac{3}{4})^{ - 2} \\ = (2)^{2} + ({ \frac{3}{2} })^{2} + ({ \frac{4}{3} })^{2} \\ = 4 + \frac{9}{4} + \frac{16}{9} \\ = \frac{144 + 81 + 64}{36} \\ = \frac{289}{36} \\ = ( { \frac{17}{6} })^{2}$

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