Finding Nearest Perfect Square by Addition
Finding Nearest Perfect Square by Addition
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. Now add 1 to the divisor.
4. The new remainder will be with a negative sign. or we can say we will the excess in the remainder.
5. Add the excess number obtained to the given number.
6. Now the new number will be a perfect square.
Illustration 1: Find the least number which must be added to 306452 to make it a perfect square.
Solution: Let us first work out the process of finding the square root by the division method
.png)
.png)
It is evident from the above work that
Also 306452 is (4416 - 3952) = 464 less than .
Thus, if we add 464 to 306452, it will be a perfect square.
Hence, the required least number is 464
Illustration 2: Find the least number of four digits which is a perfect square.
Solution: We know that the least number of 4 digits is 1000.
What must be added to 29518 to make it a perfect square? | |||
| Right Option : D | |||
| View Explanation | |||
What must be added to 33404 to make it a perfect square? | |||
| Right Option : C | |||
| View Explanation | |||
Which is the smallest 4 - digit perfect sqaure ? | |||
| 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
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
10thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thMy 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
7thMy 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.
Hiya Gupta
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
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
10thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
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.
