Question

find the least number which must be added to 1570 so as to get a perfect square​

Answer 1

Answer:

525

Step-by-step explanation:

Since remainder is 41.

Therefore 22^2<525222<525

Next perfect square number 23^2=529232=529

Hence, number to be added

= 529 – 525 = 4

\therefore525+4=529∴525+4=529

Hence, the square root of 529 is 23.

Answer 2

Step-by-step explanation:

In order to find the least number to be added to the given no.,

we must find a greater perfect square number, closest to the given number.

i) 525

The closest perfect square number is 576

Difference =576−525=51

Hence, 51 must be added to 525 in order to make it a perfect square.

∴

576

=24

ii) 1750

The closest perfect square number is 1764

Difference =1764−1750=14

Hence, 14 must be added to 1750 in order to make it a perfect square.

∴

1764

=42

iii) 252

The closest perfect square number is 256

Difference =256−252=4

Hence, 4 must be added to 252 in order to make it a perfect square.

∴

256

=16

iv) 1825

The closest perfect square number is 1849

Difference =1849−1825=24

Hence, 24 must be added to 1825 in order to make it a perfect square.

∴

1849

=43

v) 6412

The closest perfect square number is 6561

Difference =6561−6412=149

Hence, 149 must be added to 6412 in order to make it a perfect square.

∴

6561

=81