Simplify Square Root of 363

Here we will show you step-by-step how to simplify the square root of 363. The square root of 363 can be written as follows:


	√	363

The √ symbol is called the radical sign. To simplify the square root of 363 means to get the simplest radical form of √363.

Step 1: List Factors
List the factors of 363 like so:

1, 3, 11, 33, 121, 363

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

1, 121

Step 3: Divide
Divide 363 by the largest perfect square you found in the previous step:

363 / 121 = 3

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

√121 = 11

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 363 in its simplest form:


11	√	3

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Decimal Form
Square Root of 363 in Decimal form rounded to nearest 5 decimals:

19.05256

Exponent Form
Square Root of 363 written with Exponent instead of Radical:

363^½ = 11 x 3^½

Simplify Square Root of 364
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* List of Perfect Squares