√(20 + 2√99) = ?
Show answer & explanation
Correct answer: A
Explanation
Given:
√(20 + 2√99)
According to the formula:
√(a + 2√b) = √x + √y, where
x + y = a and xy = b
x + y = 20, xy = 99
x = 11, y = 9
√(20 + 2√99) = √11 + √9
= √11 + 3
SSC MTS - 16 Feb 2026 - Shift 1 • Quantitative Aptitude • Q11
√(20 + 2√99) = ?
Correct answer: A
Explanation
Given:
√(20 + 2√99)
According to the formula:
√(a + 2√b) = √x + √y, where
x + y = a and xy = b
x + y = 20, xy = 99
x = 11, y = 9
√(20 + 2√99) = √11 + √9
= √11 + 3