Question

For each of the following numbers, find the smallest natural number by which it should be divided so that this quotient is a perfect square. Also find the square root of the square number so obtained: (i) 1872 (ii) 2475 (iii) 3380 (iv) 9408 (v) 61347 LCM method​

Answer 1

Step-by-step explanation:

1》1872

= 2×2×2×2×3×3×13

= 1872÷13

= 144

=root under 144

=12

2》2475

= 5×5×3×3×11

= 2475÷11

= 225

=root under 225

=15

3》3380

= 2×2×5×13×13

= 3380÷5

= 676

=root under 676

=26

4》9408

= 2×2×2×2×3×2×2×7×7

= 9408÷3

= 3136

=root under 3136

=56

5》61347

= 3×11×11×13×13

= 61347÷3

= 20449

=root under 20449

=143