Simplify Square Root of 3105

Here we will show you step-by-step how to simplify the square root of 3105. The square root of 3105 can be written as follows:


	√	3105

The √ symbol is called the radical sign. To simplify the square root of 3105 means to get the simplest radical form of √3105.

Step 1: List Factors
List the factors of 3105 like so:

1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105

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

1, 9

Step 3: Divide
Divide 3105 by the largest perfect square you found in the previous step:

3105 / 9 = 345

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 3105 in its simplest form:


3	√	345

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Decimal Form
Square Root of 3105 in Decimal form rounded to nearest 5 decimals:

55.72253

Exponent Form
Square Root of 3105 written with Exponent instead of Radical:

3105^½ = 3 x 345^½

Simplify Square Root of 3106
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* List of Perfect Squares