Simplify Square Root of 3132

Here we will show you step-by-step how to simplify the square root of 3132. The square root of 3132 can be written as follows:


	√	3132

The √ symbol is called the radical sign. To simplify the square root of 3132 means to get the simplest radical form of √3132.

Step 1: List Factors
List the factors of 3132 like so:

1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132

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

1, 4, 9, 36

Step 3: Divide
Divide 3132 by the largest perfect square you found in the previous step:

3132 / 36 = 87

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 3132 in its simplest form:


6	√	87

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Decimal Form
Square Root of 3132 in Decimal form rounded to nearest 5 decimals:

55.96427

Exponent Form
Square Root of 3132 written with Exponent instead of Radical:

3132^½ = 6 x 87^½

Simplify Square Root of 3133
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* List of Perfect Squares