Question

if X =3+2√2 then find √x+1/√x​

Answer 1

Answer:

Given x = 3 + 2√2 ⇒ x = 2 + 1 + 2√2 × 1 ⇒ x = (√2)2 + 12 + 2 × √2 × 1 ⇒ x = (√2 + 1)2 ∴ √x = (√2 + 1) ⇒ 1/√x = 1/(√2 + 1) Multiply and divide with (√2 – 1) 1/√x = (√2 – 1)/[(√2 – 1)(√2 + 1)] = (√2 – 1)/(2 – 1) ∴ 1/√x = (√2 – 1) Now consider, (√x + 1/√x) = (√2 + 1) + (√2 – 1) Therefore, (√x + 1/√x) = 2√2

Answer 2

Step-by-step explanation:

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