Simplify Square Root of 1248

Here we will show you step-by-step how to simplify the square root of 1248. The square root of 1248 can be written as follows:


	√	1248

The √ symbol is called the radical sign. To simplify the square root of 1248 means to get the simplest radical form of √1248.

Step 1: List Factors
List the factors of 1248 like so:

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248

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

1, 4, 16

Step 3: Divide
Divide 1248 by the largest perfect square you found in the previous step:

1248 / 16 = 78

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1248 in its simplest form:


4	√	78

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Decimal Form
Square Root of 1248 in Decimal form rounded to nearest 5 decimals:

35.32704

Exponent Form
Square Root of 1248 written with Exponent instead of Radical:

1248^½ = 4 x 78^½

Simplify Square Root of 1249
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* List of Perfect Squares