Find the least number which must be added to 4215 to make it perfect square
Answers
Answer:
hope this helps u........
The least number that should be added to 4215 to obtain a perfect square is 10.
Concept:
- First, we find the square root of 4215 by the long division method.
- Then, find the least number that should be added to the given number 4215 to obtain a perfect square by subtracting 65² - 64².
Given :
Number - 4215
To Find:
The least number to be added to 4215 to make it a perfect square.
Solution:
Step 1: Find the square root of 4215 by the long division method.
The long division method of 4215 is in the attachment below:
We observe from the fig. that 4215 lies between 64² and 65².
64² < 4215 < 65²
Now, 65² = 4225
The long division method of 4225 is in the attachment below:
To make it a perfect square the least number that should be added = 65² - 64² = 4225 - 4215 = 10.
Hence, the required least number which should be added to 4215 to obtain a perfect square is 10.
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