Step 1: Factor inside the root72 = 36 × 2.Step 2: Extract square root√72 = √36 × √2 = 6√2.Final Answer:6√2 → Option A.Quick Check:6×1.414 ≈ 8.484 and √72 ≈ 8.485 → matches.

Simplify: √72

easy Q12 of 15

Numerical Ability - Simplification & Approximation

Simplify: √72

A6√2

B8√2

C12√2

D3√6

Step-by-Step Solution

Step 1: Factor inside the root
72 = 36 × 2.
Step 2: Extract square root
√72 = √36 × √2 = 6√2.
Final Answer:
6√2 → Option A.
Quick Check:
6×1.414 ≈ 8.484 and √72 ≈ 8.485 → matches.

Quick Trick: Always pull out perfect squares like 36, 25, 9, etc.

Common Mistakes:

Trying to simplify without factorizing into a perfect square.

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