Question

If x = 3+2√2 , find √x - 1/√x

Answer 1

don't have on the jfj 645-593/653*239/+568/*69

Answer 2

Answer:

plz mark as brainliest

Step-by-step explanation:

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