Question

Find the smallest no, by which following must be multiplied so that the product is a perfect square:
(i) 3456 (ii) 10224​

Answer 1

Answer:

1)3

2) 71

Step-by-step explanation:

3456 =2×1728

=2×2×864

=2×2×2×432

=2×2×2×2×216

=2×2×2×2×2×108

=2×2×2×2×2×2×54

=2^7×2×27

=(2^4*2^4)*(3^3*....)

we can say that..3 is the multiplied number to get the perfect square..

10224=16×639

=16×9×71

16 and 9 are perfect squares..and 71 is a prime ..if the product want to make perfect square we should multiply 71...