Simplify Square Root of 4900

Here we will show you step-by-step how to simplify the square root of 4900. The square root of 4900 can be written as follows:


	√	4900

The √ symbol is called the radical sign. To simplify the square root of 4900 means to get the simplest radical form of √4900.

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

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900

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

1, 4, 25, 49, 100, 196, 1225, 4900

Since 4900 is on the list of perfect squares above, it means that 4900 is a perfect square.

That means you can simplify the square root of 4900 without the radical as follows:

70

Furthermore, you may also be interested to know that the square root of 4900 can be written with an Exponent like this:

4900^½

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Simplify Square Root of 4901
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* List of Perfect Squares