Simplify Square Root of 5616

Here we will show you step-by-step how to simplify the square root of 5616. The square root of 5616 can be written as follows:


	√	5616

The √ symbol is called the radical sign. To simplify the square root of 5616 means to get the simplest radical form of √5616.

Step 1: List Factors
List the factors of 5616 like so:

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 208, 216, 234, 312, 351, 432, 468, 624, 702, 936, 1404, 1872, 2808, 5616

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 5616 by the largest perfect square you found in the previous step:

5616 / 144 = 39

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5616 in its simplest form:


12	√	39

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Decimal Form
Square Root of 5616 in Decimal form rounded to nearest 5 decimals:

74.93998

Exponent Form
Square Root of 5616 written with Exponent instead of Radical:

5616^½ = 12 x 39^½

Simplify Square Root of 5617
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* List of Perfect Squares