If x = 3 +2\sqrt2, then the value of \sqrtx-1/\sqrtx is:

Algebra and Applications Test 2

Question : 31 of 40

Marks: +1, -0

x = 3 +2√2

, then the value of

√x-1/√x

is:

Solution:

x = 3 +2√2⇒1/x=3-2√2

(√x+1/√x)^2=x+1/x-2√x . 1/√x

=x+1/x-2

=3+2√2+3-2√2-2=4

⇒√x+1/√x=±2

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