Question

If x =3+2√2 find the value of √x+1/√x

Answer 1

Here is your answer

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Given that,
x = 3 – 2√2


⇒ x = 2 + 1 – 2√2

⇒ x = (√2)2 + 12 – 2 × √2 × 1

⇒ x = (√2 – 1 )2

∴ √x = (√2 – 1 )




Multiply and divide with (√2 + 1 ),

now we get

(1/√x) = (√2 + 1 )/[(√2 – 1 )(√2 + 1 )]
          = (√2 + 1 )/[2 – 1]

∴  (1/√x) = (√2 + 1 )
√x + (1/√x)
= (√2 – 1) + (√2 + 1)
= 2√2





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HOPE THIS HELPS YOU


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