Question

Exer 1. Find the square root of the following by prim factorization : (i) 361 fii) 2401 (iii) 3025 (iv) 9801 (v) 176400 (vi) 8281​

Answer 1

Step-by-step explanation:

(i) 361 = 19 × 19

√361 = 19

(ii) 2401 = 7 × 7 × 7 × 7

√2401 = 7 ×7 = 49

(iii) 3025 = 5 × 5 × 11 × 11

√3025 = 5 × 11 = 55

(iv) 9801 = 3 × 3 × 3 × 3 × 11 × 11

√9801 = 3 × 3 × 11 = 99

(v) 176400 = 2 × 2 × 3 × 3 × 7 × 7 × 10 × 10

√176400 = 2 × 3 × 7 × 10 = 420

(vi) 8281 = 7 × 7 × 13 × 13

√8281 = 7 × 13 = 91

Answer 2

I - 19 ii - 49 iii 55 iv 99 v 420 vi 91