Simplify Square Root of 252

Here we will show you step-by-step how to simplify the square root of 252. The square root of 252 can be written as follows:


	√	252

The √ symbol is called the radical sign. To simplify the square root of 252 means to get the simplest radical form of √252.

Step 1: List Factors
List the factors of 252 like so:

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

1, 4, 9, 36

Step 3: Divide
Divide 252 by the largest perfect square you found in the previous step:

252 / 36 = 7

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 252 in its simplest form:


6	√	7

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Decimal Form
Square Root of 252 in Decimal form rounded to nearest 5 decimals:

15.87451

Exponent Form
Square Root of 252 written with Exponent instead of Radical:

252^½ = 6 x 7^½

Simplify Square Root of 253
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* List of Perfect Squares