Simplify Square Root of 3712

Here we will show you step-by-step how to simplify the square root of 3712. The square root of 3712 can be written as follows:


	√	3712

The √ symbol is called the radical sign. To simplify the square root of 3712 means to get the simplest radical form of √3712.

Step 1: List Factors
List the factors of 3712 like so:

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856, 3712

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

1, 4, 16, 64

Step 3: Divide
Divide 3712 by the largest perfect square you found in the previous step:

3712 / 64 = 58

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3712 in its simplest form:


8	√	58

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Decimal Form
Square Root of 3712 in Decimal form rounded to nearest 5 decimals:

60.92618

Exponent Form
Square Root of 3712 written with Exponent instead of Radical:

3712^½ = 8 x 58^½

Simplify Square Root of 3713
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* List of Perfect Squares