Simplify Square Root of 9000

Here we will show you step-by-step how to simplify the square root of 9000. The square root of 9000 can be written as follows:


	√	9000

The √ symbol is called the radical sign. To simplify the square root of 9000 means to get the simplest radical form of √9000.

Step 1: List Factors
List the factors of 9000 like so:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000

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

1, 4, 9, 25, 36, 100, 225, 900

Step 3: Divide
Divide 9000 by the largest perfect square you found in the previous step:

9000 / 900 = 10

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

√900 = 30

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9000 in its simplest form:


30	√	10

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Decimal Form
Square Root of 9000 in Decimal form rounded to nearest 5 decimals:

94.86833

Exponent Form
Square Root of 9000 written with Exponent instead of Radical:

9000^½ = 30 x 10^½

Simplify Square Root of 9001
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* List of Perfect Squares