Simplify Square Root of 3728

Here we will show you step-by-step how to simplify the square root of 3728. The square root of 3728 can be written as follows:


	√	3728

The √ symbol is called the radical sign. To simplify the square root of 3728 means to get the simplest radical form of √3728.

Step 1: List Factors
List the factors of 3728 like so:

1, 2, 4, 8, 16, 233, 466, 932, 1864, 3728

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

1, 4, 16

Step 3: Divide
Divide 3728 by the largest perfect square you found in the previous step:

3728 / 16 = 233

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3728 in its simplest form:


4	√	233

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Decimal Form
Square Root of 3728 in Decimal form rounded to nearest 5 decimals:

61.05735

Exponent Form
Square Root of 3728 written with Exponent instead of Radical:

3728^½ = 4 x 233^½

Simplify Square Root of 3729
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* List of Perfect Squares