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IF X = (3/ROO...

Question

IF X = (3/ROOT 2)⁴ - (1/2)² +1 , THEN WHAT IS THE VALUE OF X?

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Solution

$x = {(\frac{3}{\sqrt{2}})}^{4} - {(\frac{1}{2})}^{2} + 1 = \frac{3^{4}}{{(2^{\frac{1}{2}})}^{4}} - \frac{1}{2^{2}} + 1 = \frac{81}{2^{2}} - \frac{1}{4} + 1 = \frac{81}{4} - \frac{1}{4} + 1 = \frac{81 - 1 + 4}{4} = \frac{84}{4} = 21 ANS . . .$

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