Simplify Square Root of 4500

Here we will show you step-by-step how to simplify the square root of 4500. The square root of 4500 can be written as follows:


	√	4500

The √ symbol is called the radical sign. To simplify the square root of 4500 means to get the simplest radical form of √4500.

Step 1: List Factors
List the factors of 4500 like so:

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500

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 4500 by the largest perfect square you found in the previous step:

4500 / 900 = 5

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 4500 in its simplest form:


30	√	5

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Decimal Form
Square Root of 4500 in Decimal form rounded to nearest 5 decimals:

67.08204

Exponent Form
Square Root of 4500 written with Exponent instead of Radical:

4500^½ = 30 x 5^½

Simplify Square Root of 4501
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* List of Perfect Squares