Simplify Square Root of 5640

Here we will show you step-by-step how to simplify the square root of 5640. The square root of 5640 can be written as follows:


	√	5640

The √ symbol is called the radical sign. To simplify the square root of 5640 means to get the simplest radical form of √5640.

Step 1: List Factors
List the factors of 5640 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640

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

1, 4

Step 3: Divide
Divide 5640 by the largest perfect square you found in the previous step:

5640 / 4 = 1410

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 5640 in its simplest form:


2	√	1410

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Decimal Form
Square Root of 5640 in Decimal form rounded to nearest 5 decimals:

75.09993

Exponent Form
Square Root of 5640 written with Exponent instead of Radical:

5640^½ = 2 x 1410^½

Simplify Square Root of 5641
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* List of Perfect Squares