Simplify Square Root of 4775

Here we will show you step-by-step how to simplify the square root of 4775. The square root of 4775 can be written as follows:


	√	4775

The √ symbol is called the radical sign. To simplify the square root of 4775 means to get the simplest radical form of √4775.

Step 1: List Factors
List the factors of 4775 like so:

1, 5, 25, 191, 955, 4775

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

1, 25

Step 3: Divide
Divide 4775 by the largest perfect square you found in the previous step:

4775 / 25 = 191

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 4775 in its simplest form:


5	√	191

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Decimal Form
Square Root of 4775 in Decimal form rounded to nearest 5 decimals:

69.10137

Exponent Form
Square Root of 4775 written with Exponent instead of Radical:

4775^½ = 5 x 191^½

Simplify Square Root of 4776
The answer to Simplify Square Root of 4775 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares