Question

2. By what least number should the given number be multiplied to get a perfect square number?
In each case, find the number whose square is the new number.
(0) 3975
(ii) 2156​

Answer 1

Step-by-step explanation:

(i) 3975

Prime factorisation of 3975 = 3*5*5*53=(5)^2*3*53

=(5)^2*159

So we have to multiply by 159 to make 3975 a perfect square.

3975*159= 7925^2

(ii) 2156

Prime factorisation of 2156 =2*2*7*7*11=(2*7)^2*11

So we have to multiply by 11 to make 2156 a perfect square.

2156*11 = (154)^2

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