Step 1: Convert to exponent form(√5)⁴ = (5^(1/2))⁴.Step 2: Apply exponent rule(a^m)^n = a^(m×n) → 5^(1/2 × 4) = 5².Step 3: Evaluate5² = 25.Final Answer:25 → Option D.Quick Check:(√5)² = 5 → (√5)⁴ = 5² = 25.

Simplify: (√5)⁴

medium Q15 of 15

Numerical Ability - Simplification & Approximation

Simplify: (√5)⁴

B10

C20

D25

Step-by-Step Solution

Step 1: Convert to exponent form
(√5)⁴ = (5^(1/2))⁴.
Step 2: Apply exponent rule
(a^m)^n = a^(m×n) → 5^(1/2 × 4) = 5².
Step 3: Evaluate
5² = 25.
Final Answer:
25 → Option D.
Quick Check:
(√5)² = 5 → (√5)⁴ = 5² = 25.

Quick Trick: Write surds as fractional powers before applying exponent rules.

Common Mistakes:

Mistaking (√5)⁴ for √(5⁴).

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