Simplify Square Root of 3762

Here we will show you step-by-step how to simplify the square root of 3762. The square root of 3762 can be written as follows:


	√	3762

The √ symbol is called the radical sign. To simplify the square root of 3762 means to get the simplest radical form of √3762.

Step 1: List Factors
List the factors of 3762 like so:

1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881, 3762

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

1, 9

Step 3: Divide
Divide 3762 by the largest perfect square you found in the previous step:

3762 / 9 = 418

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 3762 in its simplest form:


3	√	418

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Decimal Form
Square Root of 3762 in Decimal form rounded to nearest 5 decimals:

61.33514

Exponent Form
Square Root of 3762 written with Exponent instead of Radical:

3762^½ = 3 x 418^½

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* List of Perfect Squares