Find the square root of 14 + 6√5.
Show answer & explanation
Correct answer: A
Explanation
Given:
a = 14 + 6√5
By the formula:
√(a + 2√b) = √m + √n
Where m + n = a and 2√mn = 2√b
m + n = 14
mn = 45
m = 9, n = 5
Hence
√(14 + 6√5)
= √9 + √5
= 3 + √5
SSC CHSL 2025 PYQ — Question 74
SSC CHSL - 24 Nov 2025 - Shift 2 • Quantitative Aptitude • Q74