Simplify Square Root of 5880

Here we will show you step-by-step how to simplify the square root of 5880. The square root of 5880 can be written as follows:


	√	5880

The √ symbol is called the radical sign. To simplify the square root of 5880 means to get the simplest radical form of √5880.

Step 1: List Factors
List the factors of 5880 like so:

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 392, 420, 490, 588, 735, 840, 980, 1176, 1470, 1960, 2940, 5880

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

1, 4, 49, 196

Step 3: Divide
Divide 5880 by the largest perfect square you found in the previous step:

5880 / 196 = 30

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 5880 in its simplest form:


14	√	30

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Decimal Form
Square Root of 5880 in Decimal form rounded to nearest 5 decimals:

76.68116

Exponent Form
Square Root of 5880 written with Exponent instead of Radical:

5880^½ = 14 x 30^½

Simplify Square Root of 5881
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* List of Perfect Squares