What is the least number that should be subtracted from 1385 to get a perfect square? Also find the square root of the perfect square.
Solution:
Given, the number is 1385.
We have to find the least number that should be subtracted from 1385 to get a perfect square.
Long division method is an easy method to get the accurate square root of numbers.
There are 5 main operations that are used- divide, multiply, subtract, bring down and repeat.
By using long division method,
We observe that the remainder of the long division is 16
The least number to be subtracted from 1385 is 16.
So, 1385 - 16 = 1369
Therefore, the least number to be subtracted is 16.
We have to find the square root of the perfect square.
The perfect square is 1369.
Therefore, the square root of 1369 is 37.
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☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 3 Problem 105
What is the least number that should be subtracted from 1385 to get a perfect square? Also find the square root of the perfect square
Summary:
The least number that should be subtracted from 1385 to get a perfect square is 16. The square root of the perfect square is 37.
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