Simplify Square Root of 2295

Here we will show you step-by-step how to simplify the square root of 2295. The square root of 2295 can be written as follows:


	√	2295

The √ symbol is called the radical sign. To simplify the square root of 2295 means to get the simplest radical form of √2295.

Step 1: List Factors
List the factors of 2295 like so:

1, 3, 5, 9, 15, 17, 27, 45, 51, 85, 135, 153, 255, 459, 765, 2295

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

1, 9

Step 3: Divide
Divide 2295 by the largest perfect square you found in the previous step:

2295 / 9 = 255

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 2295 in its simplest form:


3	√	255

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Decimal Form
Square Root of 2295 in Decimal form rounded to nearest 5 decimals:

47.90616

Exponent Form
Square Root of 2295 written with Exponent instead of Radical:

2295^½ = 3 x 255^½

Simplify Square Root of 2296
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* List of Perfect Squares