Question

Using prime factorization find square root of 484

Answer 1

484 = 2 × 2 × 11 × 11

484 = 2² × 11²

484 = 22²



Hence, Square of 484 = 22

Answer 2

Hey mate!!

HERE IS THE ANSWER

2 | 484
2 | 242
11 | 121
11 | 11

484 =2×2×11×11

$\sqrt{484} = \sqrt{2 \times 2 \times 11 \times 119 } \\ = 2 \times 11 \ \\ = 22$
hope it helps to you.