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
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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
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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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