Simplify Square Root of 5328

Here we will show you step-by-step how to simplify the square root of 5328. The square root of 5328 can be written as follows:


	√	5328

The √ symbol is called the radical sign. To simplify the square root of 5328 means to get the simplest radical form of √5328.

Step 1: List Factors
List the factors of 5328 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664, 5328

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 5328 by the largest perfect square you found in the previous step:

5328 / 144 = 37

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 5328 in its simplest form:


12	√	37

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Decimal Form
Square Root of 5328 in Decimal form rounded to nearest 5 decimals:

72.99315

Exponent Form
Square Root of 5328 written with Exponent instead of Radical:

5328^½ = 12 x 37^½

Simplify Square Root of 5329
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* List of Perfect Squares