Simplify Square Root of 5742

Here we will show you step-by-step how to simplify the square root of 5742. The square root of 5742 can be written as follows:


	√	5742

The √ symbol is called the radical sign. To simplify the square root of 5742 means to get the simplest radical form of √5742.

Step 1: List Factors
List the factors of 5742 like so:

1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 174, 198, 261, 319, 522, 638, 957, 1914, 2871, 5742

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

1, 9

Step 3: Divide
Divide 5742 by the largest perfect square you found in the previous step:

5742 / 9 = 638

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5742 in its simplest form:


3	√	638

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Decimal Form
Square Root of 5742 in Decimal form rounded to nearest 5 decimals:

75.77599

Exponent Form
Square Root of 5742 written with Exponent instead of Radical:

5742^½ = 3 x 638^½

Simplify Square Root of 5743
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* List of Perfect Squares