If x = 5 – 2√6, find the value of √x + 1/√x.
Answer :
It is given that
x = 5 – 2√6
We can write it as
= 5 + 2√6
Here
x + 1/x = 5 – 2√6 + 5 + 2√6 = 10
So we get
(√x + 1/√x)2 = x + 1/x + 2
Substituting the values
= 10 + 2
= 12
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