Simplify Square Root of 3724

Here we will show you step-by-step how to simplify the square root of 3724. The square root of 3724 can be written as follows:


	√	3724

The √ symbol is called the radical sign. To simplify the square root of 3724 means to get the simplest radical form of √3724.

Step 1: List Factors
List the factors of 3724 like so:

1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724

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

1, 4, 49, 196

Step 3: Divide
Divide 3724 by the largest perfect square you found in the previous step:

3724 / 196 = 19

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3724 in its simplest form:


14	√	19

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Decimal Form
Square Root of 3724 in Decimal form rounded to nearest 5 decimals:

61.02459

Exponent Form
Square Root of 3724 written with Exponent instead of Radical:

3724^½ = 14 x 19^½

Simplify Square Root of 3725
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* List of Perfect Squares