SSC CHSL 2022 PYQ — Question 75

SSC CHSL - 2 June 2022 - Shift 1 • Quantitative Aptitude • Q75

Simplify the expression ((82×82) − (18×18))0.5

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e.80.

((82×82) − (18×18))0.5

(a + b)(a - b) = a2 - b2

((82×82) − (18×18))0.5 = =(82∗82)−(18∗18)= { \sqrt{(82*82) - (18*18)} }

= (82+18)(82−18) {\sqrt{(82 + 18) (82 - 18})}

=100∗64= {\sqrt{100*64}}

=6400= {\sqrt{6400}}

= 80