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
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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 16259 to make it a perfect square? | |||
| Right Option : C | |||
| View Explanation | |||
Find the least number which must be added to 37460 to make it a perfect square | |||
| Right Option : B | |||
| View Explanation | |||
What must be added to 15370 to make it a perfect square? | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [20]
When I have not joined Abhyas Academy, my skills of solving maths problems were not clear. But, after joining it, my skills have been developed and my concepts of science and SST are very well. I also came to know about other subjects such as vedic maths and reasoning.
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