Simplify Square Root of 1200

Here we will show you step-by-step how to simplify the square root of 1200. The square root of 1200 can be written as follows:


	√	1200

The √ symbol is called the radical sign. To simplify the square root of 1200 means to get the simplest radical form of √1200.

Step 1: List Factors
List the factors of 1200 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, 150, 200, 240, 300, 400, 600, 1200

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 1200 by the largest perfect square you found in the previous step:

1200 / 400 = 3

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 1200 in its simplest form:


20	√	3

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Decimal Form
Square Root of 1200 in Decimal form rounded to nearest 5 decimals:

34.64102

Exponent Form
Square Root of 1200 written with Exponent instead of Radical:

1200^½ = 20 x 3^½

Simplify Square Root of 1201
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* List of Perfect Squares