Question

find the smallest number by which 252 must be multiplied to get a perfect square . also find the square root of the perfect square so obtained.​

Answer 1

We shall proceed in hit and trial method

Find some nearest multiples of 252

• 252(2)=504
• 252(3)=756
• 252(4)=1008
• 252(5)=1260
• 252(6)=1512
• 252(7)=1764

Yes last one is square of 42

So smallest no is 7