Simplify Square Root of 7744

Here we will show you step-by-step how to simplify the square root of 7744. The square root of 7744 can be written as follows:


	√	7744

The √ symbol is called the radical sign. To simplify the square root of 7744 means to get the simplest radical form of √7744.

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

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1936, 3872, 7744

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

1, 4, 16, 64, 121, 484, 1936, 7744

Since 7744 is on the list of perfect squares above, it means that 7744 is a perfect square.

That means you can simplify the square root of 7744 without the radical as follows:

88

Furthermore, you may also be interested to know that the square root of 7744 can be written with an Exponent like this:

7744^½

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Simplify Square Root of 7745
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* List of Perfect Squares