Simplify Square Root of 332

Here we will show you step-by-step how to simplify the square root of 332. The square root of 332 can be written as follows:


	√	332

The √ symbol is called the radical sign. To simplify the square root of 332 means to get the simplest radical form of √332.

Step 1: List Factors
List the factors of 332 like so:

1, 2, 4, 83, 166, 332

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

1, 4

Step 3: Divide
Divide 332 by the largest perfect square you found in the previous step:

332 / 4 = 83

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 332 in its simplest form:


2	√	83

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Decimal Form
Square Root of 332 in Decimal form rounded to nearest 5 decimals:

18.22087

Exponent Form
Square Root of 332 written with Exponent instead of Radical:

332^½ = 2 x 83^½

Simplify Square Root of 333
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* List of Perfect Squares