Simplify Square Root of 6000

Here we will show you step-by-step how to simplify the square root of 6000. The square root of 6000 can be written as follows:


	√	6000

The √ symbol is called the radical sign. To simplify the square root of 6000 means to get the simplest radical form of √6000.

Step 1: List Factors
List the factors of 6000 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1200, 1500, 2000, 3000, 6000

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

1, 4, 16, 25, 100, 400

Step 3: Divide
Divide 6000 by the largest perfect square you found in the previous step:

6000 / 400 = 15

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

√400 = 20

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6000 in its simplest form:


20	√	15

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Decimal Form
Square Root of 6000 in Decimal form rounded to nearest 5 decimals:

77.45967

Exponent Form
Square Root of 6000 written with Exponent instead of Radical:

6000^½ = 20 x 15^½

Simplify Square Root of 6001
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* List of Perfect Squares