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Find the least number which if multiplied by 40, makes it a perfect square?

      

The knowledge of both indices and square and square roots can be applied

  

Answers


ELKANAH
40 in index form = 2^3*5
Its perfect square should be, 2^4*5^2
2^(3+y)*5^(1+x)= 2^4*5^2
2^(3+y)=2^4
3+y=4
y=1
5^(1+x)=5^2
1+x=2
x=1
Therefore 40 should be multiplied by 5^1*2^1=5*2
=10
elkyodhiambo50 answered the question on August 30, 2018 at 23:48


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