Find the greatest number of three digits that is a perfect square.
Solution:
Given, the number is the greatest three digits.
We have to determine the greatest number of three digits that is a perfect square.
Let us consider the number as 999.
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 on a long division of 999 is 38.
To get a perfect square, 999 - 38 = 961
Now, (31)² = 961
(32)² = 1024
Therefore, the required greatest number of three digits is 961.
✦ Try This: Find the greatest number of four digits that is a perfect square.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 3 Problem 108
Find the greatest number of three digits that is a perfect square
Summary:
The greatest number of three digits that is a perfect square is 961.
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