Simplify Square Root of 5733

Here we will show you step-by-step how to simplify the square root of 5733. The square root of 5733 can be written as follows:


	√	5733

The √ symbol is called the radical sign. To simplify the square root of 5733 means to get the simplest radical form of √5733.

Step 1: List Factors
List the factors of 5733 like so:

1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911, 5733

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

1, 9, 49, 441

Step 3: Divide
Divide 5733 by the largest perfect square you found in the previous step:

5733 / 441 = 13

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

√441 = 21

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5733 in its simplest form:


21	√	13

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Decimal Form
Square Root of 5733 in Decimal form rounded to nearest 5 decimals:

75.71658

Exponent Form
Square Root of 5733 written with Exponent instead of Radical:

5733^½ = 21 x 13^½

Simplify Square Root of 5734
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* List of Perfect Squares