Simplify Square Root of 5980

Here we will show you step-by-step how to simplify the square root of 5980. The square root of 5980 can be written as follows:


	√	5980

The √ symbol is called the radical sign. To simplify the square root of 5980 means to get the simplest radical form of √5980.

Step 1: List Factors
List the factors of 5980 like so:

1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990, 5980

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

1, 4

Step 3: Divide
Divide 5980 by the largest perfect square you found in the previous step:

5980 / 4 = 1495

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 5980 in its simplest form:


2	√	1495

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Decimal Form
Square Root of 5980 in Decimal form rounded to nearest 5 decimals:

77.33046

Exponent Form
Square Root of 5980 written with Exponent instead of Radical:

5980^½ = 2 x 1495^½

Simplify Square Root of 5981
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* List of Perfect Squares