Simplify Square Root of 5472

Here we will show you step-by-step how to simplify the square root of 5472. The square root of 5472 can be written as follows:


	√	5472

The √ symbol is called the radical sign. To simplify the square root of 5472 means to get the simplest radical form of √5472.

Step 1: List Factors
List the factors of 5472 like so:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 72, 76, 96, 114, 144, 152, 171, 228, 288, 304, 342, 456, 608, 684, 912, 1368, 1824, 2736, 5472

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 5472 by the largest perfect square you found in the previous step:

5472 / 144 = 38

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 5472 in its simplest form:


12	√	38

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Decimal Form
Square Root of 5472 in Decimal form rounded to nearest 5 decimals:

73.97297

Exponent Form
Square Root of 5472 written with Exponent instead of Radical:

5472^½ = 12 x 38^½

Simplify Square Root of 5473
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* List of Perfect Squares