Question

Find the least number that must be subtracted from 5607 so as to get a perfect square.also find the square root of the perfect square

Answer 1

for this question, you need to work backwards.

Step 1- Find the square root of 5607, and round it of to a nearest value, but it need to lower

$\sqrt{5607}$ = 74.88 = 74 (lower value)

Step 2- find the square of 74

74*74= 5476

Step 3- find the difference between 5607 and 5476

5607-5476= 131

And that is the least value that needs to subtracted from 5607 to get a perfect square (5476)

Step 4- You already now the square root of 5476 which is 74

Answer 2

75*75=5625

74*74 =5476
given number is 5607

5607-5476 = 131
so 131 should be subtracted from 5607 to become a perfect square

5607 -131=5476

square root of 5476 = 74