Simplify Square Root of 490

Here we will show you step-by-step how to simplify the square root of 490. The square root of 490 can be written as follows:


	√	490

The √ symbol is called the radical sign. To simplify the square root of 490 means to get the simplest radical form of √490.

Step 1: List Factors
List the factors of 490 like so:

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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

1, 49

Step 3: Divide
Divide 490 by the largest perfect square you found in the previous step:

490 / 49 = 10

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 490 in its simplest form:


7	√	10

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Decimal Form
Square Root of 490 in Decimal form rounded to nearest 5 decimals:

22.13594

Exponent Form
Square Root of 490 written with Exponent instead of Radical:

490^½ = 7 x 10^½

Simplify Square Root of 491
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* List of Perfect Squares