**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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