Simplify Square Root of 7200

Here we will show you step-by-step how to simplify the square root of 7200. The square root of 7200 can be written as follows:


	√	7200

The √ symbol is called the radical sign. To simplify the square root of 7200 means to get the simplest radical form of √7200.

Step 1: List Factors
List the factors of 7200 like so:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200

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

1, 4, 9, 16, 25, 36, 100, 144, 225, 400, 900, 3600

Step 3: Divide
Divide 7200 by the largest perfect square you found in the previous step:

7200 / 3600 = 2

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

√3600 = 60

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7200 in its simplest form:


60	√	2

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Decimal Form
Square Root of 7200 in Decimal form rounded to nearest 5 decimals:

84.85281

Exponent Form
Square Root of 7200 written with Exponent instead of Radical:

7200^½ = 60 x 2^½

Simplify Square Root of 7201
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* List of Perfect Squares