Question

find the smallest number by which 3580 should be multiplied to get a perfect square​

Answer 1

Step-by-step explanation:

3580 = 2 × 1790

= 2 × 2 × 895

= 2 × 2 × 5 × 179

= 2 × 2 × 5 × 179

Since, for making a number a perfect square, it must forms a pair of two, here, 2 forms pair but 5 and 179 don't, so, in the above solution if we do,

2 × 2 × 5 × 5 × 179 × 179 .......(for getting pairs)

So, if we multiply 179×5, i.e. 895

Therefore, 895 must be multiplied to 3580 to get a perfect square.

Therefore, 895 must be multiplied to 3580 to get a perfect square.