Simplify Square Root of 5364

Here we will show you step-by-step how to simplify the square root of 5364. The square root of 5364 can be written as follows:


	√	5364

The √ symbol is called the radical sign. To simplify the square root of 5364 means to get the simplest radical form of √5364.

Step 1: List Factors
List the factors of 5364 like so:

1, 2, 3, 4, 6, 9, 12, 18, 36, 149, 298, 447, 596, 894, 1341, 1788, 2682, 5364

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

1, 4, 9, 36

Step 3: Divide
Divide 5364 by the largest perfect square you found in the previous step:

5364 / 36 = 149

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5364 in its simplest form:


6	√	149

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Decimal Form
Square Root of 5364 in Decimal form rounded to nearest 5 decimals:

73.23933

Exponent Form
Square Root of 5364 written with Exponent instead of Radical:

5364^½ = 6 x 149^½

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* List of Perfect Squares