Simplify Square Root of 5775

Here we will show you step-by-step how to simplify the square root of 5775. The square root of 5775 can be written as follows:


	√	5775

The √ symbol is called the radical sign. To simplify the square root of 5775 means to get the simplest radical form of √5775.

Step 1: List Factors
List the factors of 5775 like so:

1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 165, 175, 231, 275, 385, 525, 825, 1155, 1925, 5775

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

1, 25

Step 3: Divide
Divide 5775 by the largest perfect square you found in the previous step:

5775 / 25 = 231

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

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5775 in its simplest form:


5	√	231

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Decimal Form
Square Root of 5775 in Decimal form rounded to nearest 5 decimals:

75.99342

Exponent Form
Square Root of 5775 written with Exponent instead of Radical:

5775^½ = 5 x 231^½

Simplify Square Root of 5776
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* List of Perfect Squares