Simplify Square Root of 550

Here we will show you step-by-step how to simplify the square root of 550. The square root of 550 can be written as follows:


	√	550

The √ symbol is called the radical sign. To simplify the square root of 550 means to get the simplest radical form of √550.

Step 1: List Factors
List the factors of 550 like so:

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

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

1, 25

Step 3: Divide
Divide 550 by the largest perfect square you found in the previous step:

550 / 25 = 22

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

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 550 in its simplest form:


5	√	22

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Decimal Form
Square Root of 550 in Decimal form rounded to nearest 5 decimals:

23.45208

Exponent Form
Square Root of 550 written with Exponent instead of Radical:

550^½ = 5 x 22^½

Simplify Square Root of 551
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* List of Perfect Squares