Simplify Square Root of 5778

Here we will show you step-by-step how to simplify the square root of 5778. The square root of 5778 can be written as follows:


	√	5778

The √ symbol is called the radical sign. To simplify the square root of 5778 means to get the simplest radical form of √5778.

Step 1: List Factors
List the factors of 5778 like so:

1, 2, 3, 6, 9, 18, 27, 54, 107, 214, 321, 642, 963, 1926, 2889, 5778

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

1, 9

Step 3: Divide
Divide 5778 by the largest perfect square you found in the previous step:

5778 / 9 = 642

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5778 in its simplest form:


3	√	642

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Decimal Form
Square Root of 5778 in Decimal form rounded to nearest 5 decimals:

76.01316

Exponent Form
Square Root of 5778 written with Exponent instead of Radical:

5778^½ = 3 x 642^½

Simplify Square Root of 5779
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* List of Perfect Squares