Simplify Square Root of 3744

Here we will show you step-by-step how to simplify the square root of 3744. The square root of 3744 can be written as follows:


	√	3744

The √ symbol is called the radical sign. To simplify the square root of 3744 means to get the simplest radical form of √3744.

Step 1: List Factors
List the factors of 3744 like so:

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872, 3744

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 3744 by the largest perfect square you found in the previous step:

3744 / 144 = 26

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3744 in its simplest form:


12	√	26

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Decimal Form
Square Root of 3744 in Decimal form rounded to nearest 5 decimals:

61.18823

Exponent Form
Square Root of 3744 written with Exponent instead of Radical:

3744^½ = 12 x 26^½

Simplify Square Root of 3745
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* List of Perfect Squares