Simplify Square Root of 4805

Here we will show you step-by-step how to simplify the square root of 4805. The square root of 4805 can be written as follows:


	√	4805

The √ symbol is called the radical sign. To simplify the square root of 4805 means to get the simplest radical form of √4805.

Step 1: List Factors
List the factors of 4805 like so:

1, 5, 31, 155, 961, 4805

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

1, 961

Step 3: Divide
Divide 4805 by the largest perfect square you found in the previous step:

4805 / 961 = 5

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

√961 = 31

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4805 in its simplest form:


31	√	5

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Decimal Form
Square Root of 4805 in Decimal form rounded to nearest 5 decimals:

69.31811

Exponent Form
Square Root of 4805 written with Exponent instead of Radical:

4805^½ = 31 x 5^½

Simplify Square Root of 4806
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* List of Perfect Squares