Simplify Square Root of 5744

Here we will show you step-by-step how to simplify the square root of 5744. The square root of 5744 can be written as follows:


	√	5744

The √ symbol is called the radical sign. To simplify the square root of 5744 means to get the simplest radical form of √5744.

Step 1: List Factors
List the factors of 5744 like so:

1, 2, 4, 8, 16, 359, 718, 1436, 2872, 5744

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

1, 4, 16

Step 3: Divide
Divide 5744 by the largest perfect square you found in the previous step:

5744 / 16 = 359

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5744 in its simplest form:


4	√	359

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Decimal Form
Square Root of 5744 in Decimal form rounded to nearest 5 decimals:

75.78918

Exponent Form
Square Root of 5744 written with Exponent instead of Radical:

5744^½ = 4 x 359^½

Simplify Square Root of 5745
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* List of Perfect Squares