Question

If x is a solution of the equation √2x + 1 - √2x - 1 = 1, (x≥ 1/2), then √4x² - 1 is equal to

(a)  3/4

(b)  1/2

(c)  2√2

(d)  2

Answer 1

Correct option  (a)  3/4

We have

√2x + 1 - √2x - 1 = 1 (x ≥ 1/2)

(By Rationalization)