Simplify Square Root of 5788

Here we will show you step-by-step how to simplify the square root of 5788. The square root of 5788 can be written as follows:


	√	5788

The √ symbol is called the radical sign. To simplify the square root of 5788 means to get the simplest radical form of √5788.

Step 1: List Factors
List the factors of 5788 like so:

1, 2, 4, 1447, 2894, 5788

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

1, 4

Step 3: Divide
Divide 5788 by the largest perfect square you found in the previous step:

5788 / 4 = 1447

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 5788 in its simplest form:


2	√	1447

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Decimal Form
Square Root of 5788 in Decimal form rounded to nearest 5 decimals:

76.07891

Exponent Form
Square Root of 5788 written with Exponent instead of Radical:

5788^½ = 2 x 1447^½

Simplify Square Root of 5789
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* List of Perfect Squares