Simplify Square Root of 980

Here we will show you step-by-step how to simplify the square root of 980. The square root of 980 can be written as follows:


	√	980

The √ symbol is called the radical sign. To simplify the square root of 980 means to get the simplest radical form of √980.

Step 1: List Factors
List the factors of 980 like so:

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

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

1, 4, 49, 196

Step 3: Divide
Divide 980 by the largest perfect square you found in the previous step:

980 / 196 = 5

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 980 in its simplest form:


14	√	5

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Decimal Form
Square Root of 980 in Decimal form rounded to nearest 5 decimals:

31.30495

Exponent Form
Square Root of 980 written with Exponent instead of Radical:

980^½ = 14 x 5^½

Simplify Square Root of 981
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* List of Perfect Squares