Simplify Square Root of 5746

Here we will show you step-by-step how to simplify the square root of 5746. The square root of 5746 can be written as follows:


	√	5746

The √ symbol is called the radical sign. To simplify the square root of 5746 means to get the simplest radical form of √5746.

Step 1: List Factors
List the factors of 5746 like so:

1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2873, 5746

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

1, 169

Step 3: Divide
Divide 5746 by the largest perfect square you found in the previous step:

5746 / 169 = 34

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

√169 = 13

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5746 in its simplest form:


13	√	34

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Decimal Form
Square Root of 5746 in Decimal form rounded to nearest 5 decimals:

75.80237

Exponent Form
Square Root of 5746 written with Exponent instead of Radical:

5746^½ = 13 x 34^½

Simplify Square Root of 5747
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* List of Perfect Squares