Which is the largest among these:
³√2, √3,⁶√5?
Show answer & explanation
Correct answer: B
Explanation
Given:
³√2, √3, ⁶√5
Formula:
Use the same power for comparison.
(³√2)⁶ = 2² = 4
(√3)⁶ = 3³ = 27
(⁶√5)⁶ = 5
So, compare:
4 < 5 < 27
³√2 < ⁶√5 < √3
SSC CHSL - 18 Nov 2025 - Shift 3 • Quantitative Aptitude • Q72
Which is the largest among these:
³√2, √3,⁶√5?
Correct answer: B
Explanation
Given:
³√2, √3, ⁶√5
Formula:
Use the same power for comparison.
(³√2)⁶ = 2² = 4
(√3)⁶ = 3³ = 27
(⁶√5)⁶ = 5
So, compare:
4 < 5 < 27
³√2 < ⁶√5 < √3