Simplify Square Root of 7296

Here we will show you step-by-step how to simplify the square root of 7296. The square root of 7296 can be written as follows:


	√	7296

The √ symbol is called the radical sign. To simplify the square root of 7296 means to get the simplest radical form of √7296.

Step 1: List Factors
List the factors of 7296 like so:

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 128, 152, 192, 228, 304, 384, 456, 608, 912, 1216, 1824, 2432, 3648, 7296

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

1, 4, 16, 64

Step 3: Divide
Divide 7296 by the largest perfect square you found in the previous step:

7296 / 64 = 114

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7296 in its simplest form:


8	√	114

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Decimal Form
Square Root of 7296 in Decimal form rounded to nearest 5 decimals:

85.41663

Exponent Form
Square Root of 7296 written with Exponent instead of Radical:

7296^½ = 8 x 114^½

Simplify Square Root of 7297
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* List of Perfect Squares