Simplify Square Root of 495

Here we will show you step-by-step how to simplify the square root of 495. The square root of 495 can be written as follows:


	√	495

The √ symbol is called the radical sign. To simplify the square root of 495 means to get the simplest radical form of √495.

Step 1: List Factors
List the factors of 495 like so:

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

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

1, 9

Step 3: Divide
Divide 495 by the largest perfect square you found in the previous step:

495 / 9 = 55

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 495 in its simplest form:


3	√	55

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Decimal Form
Square Root of 495 in Decimal form rounded to nearest 5 decimals:

22.2486

Exponent Form
Square Root of 495 written with Exponent instead of Radical:

495^½ = 3 x 55^½

Simplify Square Root of 496
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* List of Perfect Squares