Simplify Square Root of 2303

Here we will show you step-by-step how to simplify the square root of 2303. The square root of 2303 can be written as follows:


	√	2303

The √ symbol is called the radical sign. To simplify the square root of 2303 means to get the simplest radical form of √2303.

Step 1: List Factors
List the factors of 2303 like so:

1, 7, 47, 49, 329, 2303

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

1, 49

Step 3: Divide
Divide 2303 by the largest perfect square you found in the previous step:

2303 / 49 = 47

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2303 in its simplest form:


7	√	47

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Decimal Form
Square Root of 2303 in Decimal form rounded to nearest 5 decimals:

47.98958

Exponent Form
Square Root of 2303 written with Exponent instead of Radical:

2303^½ = 7 x 47^½

Simplify Square Root of 2304
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* List of Perfect Squares