Question

if x = 3+2√2 then find the value of 1/x

Answer 1

Hey

Here is your answer,

Given that,

x = 3+2√2

1/x = 1/3+2√2

=1/3+2√3 x 3-2√2/3-2√2

=3-2√2/(3)^2 -(2√2)^2

=3-2√3 / 9-8

=3-2√3

Hope it helps you!

Answer 2

Hello Dear!!!

Here's your answer....

Given,

x = 3+2√2

then,

1/x is

1/(3+2√2)

rationalise the denominator

multiply the numerator and denominator with conjugate of denominator

denominator is 3+2√2

conjugate of 3+2√2 is 3-2√2

multiply....

1/(3+2√2)  * (3-2√2)/(3-2√2)

3-2√2 / 9-8

3-2√2 / 1

3-2√2

3-2√2 is the answer.....

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HOPE THIS HELPS YOU.....