Simplify Square Root of 3725

Here we will show you step-by-step how to simplify the square root of 3725. The square root of 3725 can be written as follows:


	√	3725

The √ symbol is called the radical sign. To simplify the square root of 3725 means to get the simplest radical form of √3725.

Step 1: List Factors
List the factors of 3725 like so:

1, 5, 25, 149, 745, 3725

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

1, 25

Step 3: Divide
Divide 3725 by the largest perfect square you found in the previous step:

3725 / 25 = 149

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

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3725 in its simplest form:


5	√	149

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Decimal Form
Square Root of 3725 in Decimal form rounded to nearest 5 decimals:

61.03278

Exponent Form
Square Root of 3725 written with Exponent instead of Radical:

3725^½ = 5 x 149^½

Simplify Square Root of 3726
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* List of Perfect Squares