Simplify Square Root of 5652

Here we will show you step-by-step how to simplify the square root of 5652. The square root of 5652 can be written as follows:


	√	5652

The √ symbol is called the radical sign. To simplify the square root of 5652 means to get the simplest radical form of √5652.

Step 1: List Factors
List the factors of 5652 like so:

1, 2, 3, 4, 6, 9, 12, 18, 36, 157, 314, 471, 628, 942, 1413, 1884, 2826, 5652

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

1, 4, 9, 36

Step 3: Divide
Divide 5652 by the largest perfect square you found in the previous step:

5652 / 36 = 157

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5652 in its simplest form:


6	√	157

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Decimal Form
Square Root of 5652 in Decimal form rounded to nearest 5 decimals:

75.17978

Exponent Form
Square Root of 5652 written with Exponent instead of Radical:

5652^½ = 6 x 157^½

Simplify Square Root of 5653
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* List of Perfect Squares