Simplify Square Root of 476

Here we will show you step-by-step how to simplify the square root of 476. The square root of 476 can be written as follows:


	√	476

The √ symbol is called the radical sign. To simplify the square root of 476 means to get the simplest radical form of √476.

Step 1: List Factors
List the factors of 476 like so:

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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

1, 4

Step 3: Divide
Divide 476 by the largest perfect square you found in the previous step:

476 / 4 = 119

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 476 in its simplest form:


2	√	119

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Decimal Form
Square Root of 476 in Decimal form rounded to nearest 5 decimals:

21.81742

Exponent Form
Square Root of 476 written with Exponent instead of Radical:

476^½ = 2 x 119^½

Simplify Square Root of 477
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* List of Perfect Squares