Simplify Square Root of 5220

Here we will show you step-by-step how to simplify the square root of 5220. The square root of 5220 can be written as follows:


	√	5220

The √ symbol is called the radical sign. To simplify the square root of 5220 means to get the simplest radical form of √5220.

Step 1: List Factors
List the factors of 5220 like so:

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 29, 30, 36, 45, 58, 60, 87, 90, 116, 145, 174, 180, 261, 290, 348, 435, 522, 580, 870, 1044, 1305, 1740, 2610, 5220

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

1, 4, 9, 36

Step 3: Divide
Divide 5220 by the largest perfect square you found in the previous step:

5220 / 36 = 145

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 5220 in its simplest form:


6	√	145

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Decimal Form
Square Root of 5220 in Decimal form rounded to nearest 5 decimals:

72.24957

Exponent Form
Square Root of 5220 written with Exponent instead of Radical:

5220^½ = 6 x 145^½

Simplify Square Root of 5221
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* List of Perfect Squares