Question

By what number should each of the following numbers be multiplied to get a perfect square in each case? Also, find the number whose square is the new number. 661500​

Answer 1

Answer:

156 We are going to find prime factors of 4056 4056=2×2028           

=2×2×1014           

=2×2×2×507          

 =2×2×2×3×169           =

2×2×2×3×13×13

Now, we are going to make a group of equal number.          

=(2×2)×(13×13)×2×3

By observation, 2 and 3 prime factor left out. So, multiply by 6 

we get,  4056×6 =(2×2)×(13×13)×(2×2)(3×3) 24336=(2×2×3×13)×(2×2×3×13)             

=(156)×(156)             

=(156)2 ∴  

To make perfect square we have to multiplied 4056 by 6.