Simplify Square Root of 5984

Here we will show you step-by-step how to simplify the square root of 5984. The square root of 5984 can be written as follows:


	√	5984

The √ symbol is called the radical sign. To simplify the square root of 5984 means to get the simplest radical form of √5984.

Step 1: List Factors
List the factors of 5984 like so:

1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984

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

1, 4, 16

Step 3: Divide
Divide 5984 by the largest perfect square you found in the previous step:

5984 / 16 = 374

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 5984 in its simplest form:


4	√	374

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Decimal Form
Square Root of 5984 in Decimal form rounded to nearest 5 decimals:

77.35632

Exponent Form
Square Root of 5984 written with Exponent instead of Radical:

5984^½ = 4 x 374^½

Simplify Square Root of 5985
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* List of Perfect Squares