Simplify Square Root of 2275

Here we will show you step-by-step how to simplify the square root of 2275. The square root of 2275 can be written as follows:


	√	2275

The √ symbol is called the radical sign. To simplify the square root of 2275 means to get the simplest radical form of √2275.

Step 1: List Factors
List the factors of 2275 like so:

1, 5, 7, 13, 25, 35, 65, 91, 175, 325, 455, 2275

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

1, 25

Step 3: Divide
Divide 2275 by the largest perfect square you found in the previous step:

2275 / 25 = 91

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 2275 in its simplest form:


5	√	91

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Decimal Form
Square Root of 2275 in Decimal form rounded to nearest 5 decimals:

47.69696

Exponent Form
Square Root of 2275 written with Exponent instead of Radical:

2275^½ = 5 x 91^½

Simplify Square Root of 2276
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* List of Perfect Squares