Rationalize. 1 / (√3 + √2)
Show answer & explanation
Correct answer: D
Explanation
Given:
1 / (√3 + √2)
By the formula:
( a + b )( a − b ) = a² − b²
1 / (√3 + √2)
= (√3 − √2) / ((√3 + √2)(√3 − √2))
= (√3 − √2) / (3 − 2)
= √3 − √2
SSC CHSL - 15 Nov 2025 - Shift 2 • Quantitative Aptitude • Q72
Rationalize. 1 / (√3 + √2)
Correct answer: D
Explanation
Given:
1 / (√3 + √2)
By the formula:
( a + b )( a − b ) = a² − b²
1 / (√3 + √2)
= (√3 − √2) / ((√3 + √2)(√3 − √2))
= (√3 − √2) / (3 − 2)
= √3 − √2