Dear  Madam/Sir,
I was refering R.D Sharma textbook where in Exe- 3.5  Q.no. 2 to find least no. which must be subtracted from the following no.to make them perfect square
 
a. 2361   
b. 16160
 
 
Could you please explain me the above question.
 
Thanking you,
Divya Tripathy

Asked by divya.tripathy | 19th Jun, 2015, 08:10: AM

Expert Answer:

a. 452=2025 < 2361
462=2116 < 2361
472=2209 <2361
482=2304 < 2361
492=2401 > 2361
So we observe, 482 < 2361 < 492
2304 < 2361 < 2401 
Hence, the minumum nunber that needs to be subtracted to make it a perfect square is 2361 - 2304 = 57
 
b. 1252=15625 < 16160
1262=15876 < 16160
1272=16129 < 16160
1282=16384 > 16160
So we observe, 1272 < 16160 < 1282
16129 < 16160 < 16384
Hence, the minumum nunber that needs to be subtracted to make it a perfect square is 16160 - 16129 = 31

Answered by satyajit samal | 21st Jun, 2015, 10:04: AM