Simplify Square Root of 488

Here we will show you step-by-step how to simplify the square root of 488. The square root of 488 can be written as follows:


	√	488

The √ symbol is called the radical sign. To simplify the square root of 488 means to get the simplest radical form of √488.

Step 1: List Factors
List the factors of 488 like so:

1, 2, 4, 8, 61, 122, 244, 488

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

1, 4

Step 3: Divide
Divide 488 by the largest perfect square you found in the previous step:

488 / 4 = 122

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 488 in its simplest form:


2	√	122

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Decimal Form
Square Root of 488 in Decimal form rounded to nearest 5 decimals:

22.09072

Exponent Form
Square Root of 488 written with Exponent instead of Radical:

488^½ = 2 x 122^½

Simplify Square Root of 489
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* List of Perfect Squares