Simplify Square Root of 5920

Here we will show you step-by-step how to simplify the square root of 5920. The square root of 5920 can be written as follows:


	√	5920

The √ symbol is called the radical sign. To simplify the square root of 5920 means to get the simplest radical form of √5920.

Step 1: List Factors
List the factors of 5920 like so:

1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920

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

1, 4, 16

Step 3: Divide
Divide 5920 by the largest perfect square you found in the previous step:

5920 / 16 = 370

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 5920 in its simplest form:


4	√	370

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Decimal Form
Square Root of 5920 in Decimal form rounded to nearest 5 decimals:

76.94154

Exponent Form
Square Root of 5920 written with Exponent instead of Radical:

5920^½ = 4 x 370^½

Simplify Square Root of 5921
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* List of Perfect Squares