Simplify Square Root of 64

Here we will show you step-by-step how to simplify the square root of 64. The square root of 64 can be written as follows:


	√	64

The √ symbol is called the radical sign. To simplify the square root of 64 means to get the simplest radical form of √64.

Step 1: List Factors
List the factors of 81 like so:

1, 2, 4, 8, 16, 32, 64

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 4, 16, 64

Since 64 is on the list of perfect squares above, it means that 64 is a perfect square.

That means you can simplify the square root of 64 without the radical as follows:

8

Furthermore, you may also be interested to know that the square root of 64 can be written with an Exponent like this:

64^½

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Simplify Square Root of 65
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* List of Perfect Squares