Simplify Square Root of 300

Here we will show you step-by-step how to simplify the square root of 300. The square root of 300 can be written as follows:


	√	300

The √ symbol is called the radical sign. To simplify the square root of 300 means to get the simplest radical form of √300.

Step 1: List Factors
List the factors of 300 like so:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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

1, 4, 25, 100

Step 3: Divide
Divide 300 by the largest perfect square you found in the previous step:

300 / 100 = 3

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

√100 = 10

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 300 in its simplest form:


10	√	3

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Decimal Form
Square Root of 300 in Decimal form rounded to nearest 5 decimals:

17.32051

Exponent Form
Square Root of 300 written with Exponent instead of Radical:

300^½ = 10 x 3^½

Simplify Square Root of 301
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* List of Perfect Squares