Simplify Square Root of 5840

Here we will show you step-by-step how to simplify the square root of 5840. The square root of 5840 can be written as follows:


	√	5840

The √ symbol is called the radical sign. To simplify the square root of 5840 means to get the simplest radical form of √5840.

Step 1: List Factors
List the factors of 5840 like so:

1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840

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

1, 4, 16

Step 3: Divide
Divide 5840 by the largest perfect square you found in the previous step:

5840 / 16 = 365

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5840 in its simplest form:


4	√	365

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Decimal Form
Square Root of 5840 in Decimal form rounded to nearest 5 decimals:

76.41989

Exponent Form
Square Root of 5840 written with Exponent instead of Radical:

5840^½ = 4 x 365^½

Simplify Square Root of 5841
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* List of Perfect Squares