Square Root of Perfect Squares
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Math Worksheets
Videos, worksheets, stories and songs to help students learn how to find the square root of perfect squares.
What is a perfect square?
A perfect square is a number that is the square of an integer.
For example, 25 is a perfect square since 25 = 5 × 5 = 52
Some examples of perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ..
The opposite of squaring a number is finding the square root. Since 52 = 25, the square root of 25 is 5. The square root of a perfect square is an integer.
How to find the square root of a perfect square?
Here are two methods you can use.
Method 1: Memorization (Recommended for Small Numbers)
Memorize the squares of integers from 1 to 20 and then you can easily recognize the square root of these perfect squares.
The following diagram shows the squares of numbers from 1 to 20.
Method 2: Prime Factorization (For Larger Numbers)
Break down the number into its prime factors and pair them up.
Steps:
- Factor the number into primes.
- Pair identical factors.
- Multiply one factor from each pair.
The following diagram shows how to use prime factorization to find the square root. Scroll down the page for more examples and solutions of square roots.
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