Simplify Square Root of 7344

Here we will show you step-by-step how to simplify the square root of 7344. The square root of 7344 can be written as follows:


	√	7344

The √ symbol is called the radical sign. To simplify the square root of 7344 means to get the simplest radical form of √7344.

Step 1: List Factors
List the factors of 7344 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 612, 816, 918, 1224, 1836, 2448, 3672, 7344

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 7344 by the largest perfect square you found in the previous step:

7344 / 144 = 51

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 7344 in its simplest form:


12	√	51

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Decimal Form
Square Root of 7344 in Decimal form rounded to nearest 5 decimals:

85.69714

Exponent Form
Square Root of 7344 written with Exponent instead of Radical:

7344^½ = 12 x 51^½

Simplify Square Root of 7345
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* List of Perfect Squares