Finding Nearest Perfect Square by Subtraction
Finding Nearest Perfect Square by Subtraction
To find the least number which must be subtracted to a given number to make it a perfect square, the steps are as follows:
1. Start finding the square root of the given number by using the long division method.
2. Find the remainder at the last step of division.
3. Subtract the remainder from the given number. Now the given number becomes a perfect square.
Illustration 1: Find the least number which must be subtracted from 18265 to make it a perfect square. Also, find the square root of the resulting number.
Solution: Let us work out the process of finding the square root of 18265 by the long division method.
We find that in the process of working out the square root of 18265 by the long division method, the remainder in the last step is 40 . This means that if 40 be subtracted from the given number, the remainder will be zero and the new number will be a perfect square.
Hence, the required least number = 40
and, requried square number = 18265 - 40 = 18225
So, which is a perfect square.
Illustration 2: Find the greatest number of six digits which is a perfect square.
Solution: We know that the greatest number of six digits is 999999. In order to find the greatest number of six digits which is a perfect square, we must first find the smallest number that must be subtracted from 999999 to make it a perfect square. For this, we work out the process of finding the square root of 999999 by the long division method as given below.
Which is the greatest three-digit perfect square ? | |||
| Right Option : B | |||
| View Explanation | |||
Which least number should be subtracted from 629 so as to get a perfect square ? | |||
| Right Option : A | |||
| View Explanation | |||
The greatest 6-digit number,which is a perfect square is _______________. | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
It has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
