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Asked by Harshaditya Kaushal

Apr 14, 2013

Least number to be added to make to make it a perfect square

Q1 find the least number which must be added to 7900 to obtain a perfect square?Q2 find the least number which must be subtracted from 2509 to make it a perfect square?

Answers(18)

Answer

Kishore Kumar

Q1 find the least number which must be added to 7900 to obtain a perfect square?

Solution:

First let us find the square of 7900 using long division method.

The remainder is 156. Hence

The next perfect square number is

Hence, the number to be added is

Therefore 21 should be added to 7900 to get a perfect square.

           

Q2 find the least number which must be subtracted from 2509 to make it a perfect square?

Solution: First let us find the square of 2509 using long division method.

The remainder is 9. Hence

Hence, the number to be subtracted is

Therefore 9 should be subtracted from 2509 to get a perfect square.

Ammu

first find the square root of 7900.
by prime factorisation method
quotient+i 2=88+1=89
89x89=7921
there for 7921-7900=21
there for root of 7921=89

Syeda

Member since Jan 25, 2017

Answer.

First let us find the square of 7900 using long division method.

The remainder is 156. Hence

The next perfect square number is

Hence, the number to be added is

Therefore 21 should be added to 7900 to get a perfect square.

           

Q2 find the least number which must be subtracted from 2509 to make it a perfect square?

Solution: First let us find the square of 2509 using long division method.

The remainder is 9. Hence

Hence, the number to be subtracted is

Therefore 9 should be subtracted from 2509 to get a perfect square.

Shruti

Solution:

First let us find the square of 7900 using long division method.

The remainder is 156. Hence

The next perfect square number is

Hence, the number to be added is

Therefore 21 should be added to 7900 to get a perfect square.

           

Q2 find the least number which must be subtracted from 2509 to make it a perfect square?

Solution: First let us find the square of 2509 using long division method.

The remainder is 9. Hence

Hence, the number to be subtracted is

Therefore 9 should be subtracted from 2509 to get a perfect square.

Rohit Venkata

Answer1:21 Answer2:9

Agam Gupta

Member since Sep 21, 2013

first find the square root of 7900.
by prime factorisation method
quotient+i 2=88+1=89
89x89=7921
there for 7921-7900=21
there for root of 7921=89

Priyanshu

Member since Nov 29, 2016

1.) Add 21 and
2.) subtract 9

Manjeet

Least no.to be added to make perfect square to 7900 is 156

Ashok K Singh

The least number which must be added to 7900 to obtain a perfect square is 21
and the least number which must be subtracted from 2509 to make it a perfect square is 9.

Pratik

In Q1 first squareroot of7900 and then add the remainder to 7900

Omkar Dhamale

Q.1 ans                                                                    2             7900
                                                                                2              3950
                                                                               
5              1975
                                                                                5              395
                                                                                79            79
                                                                                                 1  

Therefore , 79 is the smallest number to be multiplied

Bindu S

21 must be added

Om sambhajiraje

What is food production & management?

Bharat Moon

1 . 21        2 . 9

Ajadeep Sai Devavarapu

9

Dhruv Agrawal

Solution:

First let us find the square of 7900 using long division method.

The remainder is 156. Hence 

The next perfect square number is 

Hence, the number to be added is 

Therefore 21 should be added to 7900 to get a perfect square.

           

Q2 find the least number which must be subtracted from 2509 to make it a perfect square?

Solution: First let us find the square of 2509 using long division method.

The remainder is 9. Hence 

Hence, the number to be subtracted is 

Therefore 9 should be subtracted from 2509 to get a perfect square.

Rohit Venkata

Answer1: 21                                                                                                                                       Answer2: 9
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