Question

what least number should be subtracted from 49299 to make it a perfect square pls answer in question language and pls answer in correct answer ​

Answer 1

Step-by-step explanation:

Given :-

49299

To find :-

What least number should be subtracted from 49299 to make it a perfect square ?

Solution :-

Method-1:-

Given number = 49299

Checking for square root by Bar method

We get 15 as a remainder.

If we subtract 15 from the given number then we will get a perfect square number.

On subtracting 15 from 49299

=> 49299-15

=> 49284

=> 222×222

=> 222²

=> It is a perfect square number.

So the required number = 15

Method-2:-

Given number = 49299

Let the least number should be subtracted from the given number be X

==> 49299-X

So it will be a perfect squre

Let the square be m²

=> 49299 - X = m²

=> 49299 = m²+X

=> 49284+15 = m²+X

=> (222)²+15 = m²+X

On Comparing both sides then

=> m = 222 and X = 15

So the perfect square number = 49284

Required number = 15

Method-3:-

49299 in between the two square numbers

49284 and 49729

222² < 49299 < 223²

49299-49284 = 15

49729- 49299 = 230

Given that the least number which is subtracted from 49299 so, the number is 15

Answer :-

The least number which is subtracted form 49299 to make a perfect square number is 15

Used formulae:-

• A number multiplied itself two times is called a square number.

• A number can be written as the product of two same numbers is called perfect square number.

Ex:- 1=1×1

4=2×2

9=3×3...