Simplify Square Root of 477

Here we will show you step-by-step how to simplify the square root of 477. The square root of 477 can be written as follows:


	√	477

The √ symbol is called the radical sign. To simplify the square root of 477 means to get the simplest radical form of √477.

Step 1: List Factors
List the factors of 477 like so:

1, 3, 9, 53, 159, 477

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

1, 9

Step 3: Divide
Divide 477 by the largest perfect square you found in the previous step:

477 / 9 = 53

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 477 in its simplest form:


3	√	53

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Decimal Form
Square Root of 477 in Decimal form rounded to nearest 5 decimals:

21.84033

Exponent Form
Square Root of 477 written with Exponent instead of Radical:

477^½ = 3 x 53^½

Simplify Square Root of 478
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* List of Perfect Squares