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Question

If x = 9+4 square root 5.Find square root x - square root 1/x

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Solution

x=9+451x=19+45×9-459-45=9-4581-80=9-45Now, x + 1x = 9 + 45 + 9 - 45Now, x + 1x = 18Now, x - 1x2 = x + 1x - 2 = 18 - 2 = 16x - 1x = ±4

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