Simplify Square Root of 548

Here we will show you step-by-step how to simplify the square root of 548. The square root of 548 can be written as follows:


	√	548

The √ symbol is called the radical sign. To simplify the square root of 548 means to get the simplest radical form of √548.

Step 1: List Factors
List the factors of 548 like so:

1, 2, 4, 137, 274, 548

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

1, 4

Step 3: Divide
Divide 548 by the largest perfect square you found in the previous step:

548 / 4 = 137

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 548 in its simplest form:


2	√	137

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Decimal Form
Square Root of 548 in Decimal form rounded to nearest 5 decimals:

23.4094

Exponent Form
Square Root of 548 written with Exponent instead of Radical:

548^½ = 2 x 137^½

Simplify Square Root of 549
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* List of Perfect Squares