Simplify Square Root of 3784

Here we will show you step-by-step how to simplify the square root of 3784. The square root of 3784 can be written as follows:


	√	3784

The √ symbol is called the radical sign. To simplify the square root of 3784 means to get the simplest radical form of √3784.

Step 1: List Factors
List the factors of 3784 like so:

1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784

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

1, 4

Step 3: Divide
Divide 3784 by the largest perfect square you found in the previous step:

3784 / 4 = 946

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3784 in its simplest form:


2	√	946

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Decimal Form
Square Root of 3784 in Decimal form rounded to nearest 5 decimals:

61.51423

Exponent Form
Square Root of 3784 written with Exponent instead of Radical:

3784^½ = 2 x 946^½

Simplify Square Root of 3785
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* List of Perfect Squares