SarkariPYQ

SSC CGL 2023 PYQ — Question 52

SSC CGL - 25 July 2023 - Shift 4 • Quantitative Aptitude • Q52

Back to paper

Simplify the expression √x−√y√x+√y\frac{√x-√y}{√x+√y}, where x = 2 and y = 3.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 2√6 - 5.

Given, √x−√y√x+√y\frac{√x-√y}{√x+√y}

On rationalising the above expression,

⇒ (√x−√y)(√x−√y)(√x+√y)(√x−√y)\frac{(√x-√y)(√x - √y)}{(√x+√y)(√x - √y)}

⇒ (√x−√y)2(x−y)\frac{(√x-√y)^2}{(x - y)}

Putting the value x = 2 and y = 3,

⇒ (√2−√3)2(2−3)\frac{(√2 - √3)^2}{(2- 3)}

⇒ -(2 + 3 - 2√6) = 2√6 - 5