Question

find the square roots of the following numbers by division method 1089 2304 6084

Answer 1

Considering, these are three different numbers, i.e. 1089 , 2304, 6084
By prime factorization (dividing with prime factors )
1089 = 3×3×11×11
√1089 = √(3×3×11×11)
           =3×11 =33
2304 = 2×2×2×2×2×2×2×2×3×3
√2304 = √( 2×2×2×2×2×2×2×2×3×3)
           =2×2×2×2×3 =48
6084= 2×2×3×3×13×13
√6084 =√(2×2×3×3×13×13)
           =2×3×13 =78