Question

If x=3-2root2,then find the value of root x+1/root x

Answer 1

Answer:

Given x = 3 + 2√2

⇒ x = 2 + 1 + 2√2

⇒ x = (√2)2�+ 12�+ 2×√2×1

⇒ x = (√2 + 1)2

∴ x = (√2 + 1)

⇒(1/x) = 1/ (√2 + 1)

Multiply and divide by (√2 − 1)

⇒(1/x) = (√2 − 1) / [(√2 + 1)(√2 − 1)]

⇒(1/x) = (√2 − 1) / [2 − 1]

∴ (1/x) = (√2 − 1)

= 2√2

Answer 2

hope it's helpful to you. . .