Simplify Square Root of 3000

Here we will show you step-by-step how to simplify the square root of 3000. The square root of 3000 can be written as follows:


	√	3000

The √ symbol is called the radical sign. To simplify the square root of 3000 means to get the simplest radical form of √3000.

Step 1: List Factors
List the factors of 3000 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000

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

1, 4, 25, 100

Step 3: Divide
Divide 3000 by the largest perfect square you found in the previous step:

3000 / 100 = 30

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 3000 in its simplest form:


10	√	30

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Decimal Form
Square Root of 3000 in Decimal form rounded to nearest 5 decimals:

54.77226

Exponent Form
Square Root of 3000 written with Exponent instead of Radical:

3000^½ = 10 x 30^½

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* List of Perfect Squares