Simplify Square Root of 3750

Here we will show you step-by-step how to simplify the square root of 3750. The square root of 3750 can be written as follows:


	√	3750

The √ symbol is called the radical sign. To simplify the square root of 3750 means to get the simplest radical form of √3750.

Step 1: List Factors
List the factors of 3750 like so:

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3750

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

1, 25, 625

Step 3: Divide
Divide 3750 by the largest perfect square you found in the previous step:

3750 / 625 = 6

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

√625 = 25

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3750 in its simplest form:


25	√	6

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Decimal Form
Square Root of 3750 in Decimal form rounded to nearest 5 decimals:

61.23724

Exponent Form
Square Root of 3750 written with Exponent instead of Radical:

3750^½ = 25 x 6^½

Simplify Square Root of 3751
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* List of Perfect Squares