alleryWhich of the following numbers is irrational?
A¹⁰√1024
B√1024
C⁴√1024
D⁵√1024
Answer & Solution
Correct answer: C. ⁴√1024
1. Note 1024 = 2¹⁰.
2. ¹⁰√1024 = 2, √1024 = 32, ⁵√1024 = 2² = 4 — all rational.
3. ⁴√1024 = 2^(10/4) = 2^2.5 = 4√2, which is irrational.
_Source: RRB Group D CEN-02/2018 PYQ, Q.66._
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