√(17 + 2√72) = ?
Show answer & explanation
Correct answer: B
Explanation
Given:
√(17 + 2√72)
According to the formula:
√(a + 2√b) = √m + √n, where
m + n = a, mn = b
a = 17, b = 72
m + n = 17
mn = 72
m = 9, n = 8
⇒ √(17 + 2√72) = 3 + √8
SSC MTS - 17 Feb 2026 - Shift 2 • Quantitative Aptitude • Q8
√(17 + 2√72) = ?
Correct answer: B
Explanation
Given:
√(17 + 2√72)
According to the formula:
√(a + 2√b) = √m + √n, where
m + n = a, mn = b
a = 17, b = 72
m + n = 17
mn = 72
m = 9, n = 8
⇒ √(17 + 2√72) = 3 + √8