If x = 9 + 4√5 , find the value of √x -1/√x
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4
Step-by-step explanation:
9 + 4√5 = (2)^2 + (√5)^2 + 2*2*√5
=(2 + √5)^2
so √x =√5 + 2
and by rationalisation 1/√x = √5 - 2
So
√x - 1/√x = √5 + 2 -( √5 -2 )
=4
Hope it helps
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