Simplify Square Root of 756

Here we will show you step-by-step how to simplify the square root of 756. The square root of 756 can be written as follows:


	√	756

The √ symbol is called the radical sign. To simplify the square root of 756 means to get the simplest radical form of √756.

Step 1: List Factors
List the factors of 756 like so:

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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

1, 4, 9, 36

Step 3: Divide
Divide 756 by the largest perfect square you found in the previous step:

756 / 36 = 21

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 756 in its simplest form:


6	√	21

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Decimal Form
Square Root of 756 in Decimal form rounded to nearest 5 decimals:

27.49545

Exponent Form
Square Root of 756 written with Exponent instead of Radical:

756^½ = 6 x 21^½

Simplify Square Root of 757
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* List of Perfect Squares