Simplify Square Root of 5324

Here we will show you step-by-step how to simplify the square root of 5324. The square root of 5324 can be written as follows:


	√	5324

The √ symbol is called the radical sign. To simplify the square root of 5324 means to get the simplest radical form of √5324.

Step 1: List Factors
List the factors of 5324 like so:

1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324

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

1, 4, 121, 484

Step 3: Divide
Divide 5324 by the largest perfect square you found in the previous step:

5324 / 484 = 11

Step 4: Calculate
Calculate the square root of the largest perfect square:

√484 = 22

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5324 in its simplest form:


22	√	11

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Decimal Form
Square Root of 5324 in Decimal form rounded to nearest 5 decimals:

72.96575

Exponent Form
Square Root of 5324 written with Exponent instead of Radical:

5324^½ = 22 x 11^½

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* List of Perfect Squares