Square Root Using Successive Subtraction of Odd Numbers
Square Root Using Successive Subtraction of Odd Numbers
This method can be used for small perfect squares say up to 250. The steps to be followed are as follows
Step I: Obtain the number whose square root is to be found.
Step II: Subtract the odd numbers 1,3,5,7,9,13,15,...successively from the given number.
Step III: If the given number is a perfect square, we will get zero at some stage. We stop at the point where we have got zero.
Step IV: The number of times we have performed subtraction will be the square root of the given number.
Illustration: Find the square root of 64 by successive subtraction of odd numbers.
Solution: Subtracting the odd numbers successively, we get
64 - 1 = 63
63 - 3 =60
60 - 5 = 55
55 - 7 = 48
48 - 9 = 39
39 - 11 = 28
28 - 13 = 15
15 - 15 = 0
Hence, we performed subtraction 8 times.
therefore,
Illustration: Find the square root of 25 by successive subtraction of odd numbers.
Solution: Subtracting the odd numbers successively, we get
25 - 1 =24
24 - 3 =21
21 - 5 =16
16 - 7 = 9
9 - 9 = 0
Hence, we performed subtraction 5 times.
therefore,
What is the number obtained in the 5th step after subtracting odd numbers while calculating the square root of 49 by the method of "successive subtraction of odd numbers" ? | |||
| Right Option : A | |||
| View Explanation | |||
What is the number obtained in the 8th step after subtracting odd numbers while calculating the square root of 169 by the method of "successive subtraction of odd numbers" ? | |||
| Right Option : C | |||
| View Explanation | |||
What is the number obtained in the 6th step after subtracting odd numbers while calculating the square root of 144 by the method of "successive subtraction of odd numbers" ? | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [10]
Abhyas 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
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
10thIt 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
10thMy 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
8thBeing 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 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
8thAbout 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
8thIt 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
8thI 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
