SSC CHSL 2020 PYQ — Question 63

SSC CHSL - 14th October 2020 - Shift 2 • Quantitative Aptitude • Q63

The value of 5√(3) + 7√(2) - √(6)  is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e 12.

Understanding/Application

5√(3) + 7√(2) - √(6)  - (23/√2 + √3 + √6)

{5√(3) x (√2 + √3 + √6) + 7√(2) x (√2 + √3 + √6)  - √(6) x (√2 + √3 + √6)  - 23}/(√2 + √3 + √6)

= (5√6 + 15 + 15√2 + 14 + 7√6 + 14√3 - 2√3 - 3√2 - 6 - 23)/(√2 + √3 + √6)

=(12√6 + 12√2 + 12√3)/(√2 + √3 + √6) = 12((√6 + √2 + √3)/(√2 + √3 + √6) = 12