Simplify Square Root of 472

Here we will show you step-by-step how to simplify the square root of 472. The square root of 472 can be written as follows:


	√	472

The √ symbol is called the radical sign. To simplify the square root of 472 means to get the simplest radical form of √472.

Step 1: List Factors
List the factors of 472 like so:

1, 2, 4, 8, 59, 118, 236, 472

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

1, 4

Step 3: Divide
Divide 472 by the largest perfect square you found in the previous step:

472 / 4 = 118

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 472 in its simplest form:


2	√	118

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Decimal Form
Square Root of 472 in Decimal form rounded to nearest 5 decimals:

21.72556

Exponent Form
Square Root of 472 written with Exponent instead of Radical:

472^½ = 2 x 118^½

Simplify Square Root of 473
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* List of Perfect Squares