Simplify Square Root of 3753

Here we will show you step-by-step how to simplify the square root of 3753. The square root of 3753 can be written as follows:


	√	3753

The √ symbol is called the radical sign. To simplify the square root of 3753 means to get the simplest radical form of √3753.

Step 1: List Factors
List the factors of 3753 like so:

1, 3, 9, 27, 139, 417, 1251, 3753

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

1, 9

Step 3: Divide
Divide 3753 by the largest perfect square you found in the previous step:

3753 / 9 = 417

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3753 in its simplest form:


3	√	417

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Decimal Form
Square Root of 3753 in Decimal form rounded to nearest 5 decimals:

61.26173

Exponent Form
Square Root of 3753 written with Exponent instead of Radical:

3753^½ = 3 x 417^½

Simplify Square Root of 3754
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* List of Perfect Squares