Find the least number of four digits that is a perfect square.
Solution:
Given, the number is the least four digit number.
We have to find the least number of four digits that is a perfect square.
Let the least four digit number be 1000.
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,
Now, (31)² = 961
We observe that 961 is less than 1000.
The next perfect square is (32)² = 1024
Therefore, the least four digit number that is a perfect square is 1024.
✦ Try This: Find the least number of five digits that is a perfect square.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 3 Problem 107
Find the least number of four digits that is a perfect square
Summary:
The least number of four digits that is a perfect square is 1024
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