Question

If x = 3 + 2 √2, find the value of √x -1/√x​

Answer 1

Answer:

x=3+2√2

=2+1+2√2

=(√2)^2+(1)^2+2.√2.1

=(√2+1)^2

√x=√2+1

1/√x=1/(√2+1)

=(√2-1)/(√2+1)(√2-1)

=(√2-1)/2-1

=√2-1

√x-1/√x=√2+1-√2+1=2

Answer 2

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