Simplify √(324) A. 16 B. 17 C. 18 D. 19​

Question

Simplify

`√(324)`
A. 16
B. 17
C. 18
D. 19​

Answer 1

Answer: C) 18

Explanation:

Your problem → Simplify square root of 324

First find factors of 324

2 324

2 162

3 81

3 27

3 9

3 3

1

324=2×2×3×3×3×3

324 = 2^2 × 3^4

Taking squareroot

∴√324=√2^2 × 3^4

=2 × 3^2

=18

∴ 324 is a perfect square

Answer 2

c-18
√324= √2^2•3^4= √2^2•√3^2•3^2= √2^2•√3^2•√3^2=2•3•3=18