Simplify Square Root of 7248

Here we will show you step-by-step how to simplify the square root of 7248. The square root of 7248 can be written as follows:


	√	7248

The √ symbol is called the radical sign. To simplify the square root of 7248 means to get the simplest radical form of √7248.

Step 1: List Factors
List the factors of 7248 like so:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 151, 302, 453, 604, 906, 1208, 1812, 2416, 3624, 7248

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

1, 4, 16

Step 3: Divide
Divide 7248 by the largest perfect square you found in the previous step:

7248 / 16 = 453

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 7248 in its simplest form:


4	√	453

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Decimal Form
Square Root of 7248 in Decimal form rounded to nearest 5 decimals:

85.13519

Exponent Form
Square Root of 7248 written with Exponent instead of Radical:

7248^½ = 4 x 453^½

Simplify Square Root of 7249
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* List of Perfect Squares