Simplify Square Root of 369

Here we will show you step-by-step how to simplify the square root of 369. The square root of 369 can be written as follows:


	√	369

The √ symbol is called the radical sign. To simplify the square root of 369 means to get the simplest radical form of √369.

Step 1: List Factors
List the factors of 369 like so:

1, 3, 9, 41, 123, 369

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

1, 9

Step 3: Divide
Divide 369 by the largest perfect square you found in the previous step:

369 / 9 = 41

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 369 in its simplest form:


3	√	41

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Decimal Form
Square Root of 369 in Decimal form rounded to nearest 5 decimals:

19.20937

Exponent Form
Square Root of 369 written with Exponent instead of Radical:

369^½ = 3 x 41^½

Simplify Square Root of 370
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* List of Perfect Squares