Simplify Square Root of 5332

Here we will show you step-by-step how to simplify the square root of 5332. The square root of 5332 can be written as follows:


	√	5332

The √ symbol is called the radical sign. To simplify the square root of 5332 means to get the simplest radical form of √5332.

Step 1: List Factors
List the factors of 5332 like so:

1, 2, 4, 31, 43, 62, 86, 124, 172, 1333, 2666, 5332

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

1, 4

Step 3: Divide
Divide 5332 by the largest perfect square you found in the previous step:

5332 / 4 = 1333

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 5332 in its simplest form:


2	√	1333

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Decimal Form
Square Root of 5332 in Decimal form rounded to nearest 5 decimals:

73.02055

Exponent Form
Square Root of 5332 written with Exponent instead of Radical:

5332^½ = 2 x 1333^½

Simplify Square Root of 5333
The answer to Simplify Square Root of 5332 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares