Simplify Square Root of 2254

Here we will show you step-by-step how to simplify the square root of 2254. The square root of 2254 can be written as follows:


	√	2254

The √ symbol is called the radical sign. To simplify the square root of 2254 means to get the simplest radical form of √2254.

Step 1: List Factors
List the factors of 2254 like so:

1, 2, 7, 14, 23, 46, 49, 98, 161, 322, 1127, 2254

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

1, 49

Step 3: Divide
Divide 2254 by the largest perfect square you found in the previous step:

2254 / 49 = 46

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 2254 in its simplest form:


7	√	46

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Decimal Form
Square Root of 2254 in Decimal form rounded to nearest 5 decimals:

47.47631

Exponent Form
Square Root of 2254 written with Exponent instead of Radical:

2254^½ = 7 x 46^½

Simplify Square Root of 2255
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* List of Perfect Squares