Simplify Square Root of 5978

Here we will show you step-by-step how to simplify the square root of 5978. The square root of 5978 can be written as follows:


	√	5978

The √ symbol is called the radical sign. To simplify the square root of 5978 means to get the simplest radical form of √5978.

Step 1: List Factors
List the factors of 5978 like so:

1, 2, 7, 14, 49, 61, 98, 122, 427, 854, 2989, 5978

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

1, 49

Step 3: Divide
Divide 5978 by the largest perfect square you found in the previous step:

5978 / 49 = 122

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 5978 in its simplest form:


7	√	122

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Decimal Form
Square Root of 5978 in Decimal form rounded to nearest 5 decimals:

77.31753

Exponent Form
Square Root of 5978 written with Exponent instead of Radical:

5978^½ = 7 x 122^½

Simplify Square Root of 5979
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* List of Perfect Squares