Simplify Square Root of 4624

Here we will show you step-by-step how to simplify the square root of 4624. The square root of 4624 can be written as follows:


	√	4624

The √ symbol is called the radical sign. To simplify the square root of 4624 means to get the simplest radical form of √4624.

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

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, 4624

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

1, 4, 16, 289, 1156, 4624

Since 4624 is on the list of perfect squares above, it means that 4624 is a perfect square.

That means you can simplify the square root of 4624 without the radical as follows:

68

Furthermore, you may also be interested to know that the square root of 4624 can be written with an Exponent like this:

4624^½

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Simplify Square Root of 4625
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* List of Perfect Squares