Simplify Square Root of 1224

Here we will show you step-by-step how to simplify the square root of 1224. The square root of 1224 can be written as follows:


	√	1224

The √ symbol is called the radical sign. To simplify the square root of 1224 means to get the simplest radical form of √1224.

Step 1: List Factors
List the factors of 1224 like so:

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224

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

1, 4, 9, 36

Step 3: Divide
Divide 1224 by the largest perfect square you found in the previous step:

1224 / 36 = 34

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1224 in its simplest form:


6	√	34

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Decimal Form
Square Root of 1224 in Decimal form rounded to nearest 5 decimals:

34.98571

Exponent Form
Square Root of 1224 written with Exponent instead of Radical:

1224^½ = 6 x 34^½

Simplify Square Root of 1225
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* List of Perfect Squares