Simplify Square Root of 2448

Here we will show you step-by-step how to simplify the square root of 2448. The square root of 2448 can be written as follows:


	√	2448

The √ symbol is called the radical sign. To simplify the square root of 2448 means to get the simplest radical form of √2448.

Step 1: List Factors
List the factors of 2448 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448

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

1, 4, 9, 16, 36, 144

Step 3: Divide
Divide 2448 by the largest perfect square you found in the previous step:

2448 / 144 = 17

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

√144 = 12

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2448 in its simplest form:


12	√	17

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Decimal Form
Square Root of 2448 in Decimal form rounded to nearest 5 decimals:

49.47727

Exponent Form
Square Root of 2448 written with Exponent instead of Radical:

2448^½ = 12 x 17^½

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* List of Perfect Squares