# 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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