Simplify Square Root of 5760

Here we will show you step-by-step how to simplify the square root of 5760. The square root of 5760 can be written as follows:


	√	5760

The √ symbol is called the radical sign. To simplify the square root of 5760 means to get the simplest radical form of √5760.

Step 1: List Factors
List the factors of 5760 like so:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880, 5760

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

1, 4, 9, 16, 36, 64, 144, 576

Step 3: Divide
Divide 5760 by the largest perfect square you found in the previous step:

5760 / 576 = 10

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

√576 = 24

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5760 in its simplest form:


24	√	10

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Decimal Form
Square Root of 5760 in Decimal form rounded to nearest 5 decimals:

75.89466

Exponent Form
Square Root of 5760 written with Exponent instead of Radical:

5760^½ = 24 x 10^½

Simplify Square Root of 5761
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* List of Perfect Squares