Simplify Square Root of 4214

Here we will show you step-by-step how to simplify the square root of 4214. The square root of 4214 can be written as follows:


	√	4214

The √ symbol is called the radical sign. To simplify the square root of 4214 means to get the simplest radical form of √4214.

Step 1: List Factors
List the factors of 4214 like so:

1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107, 4214

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

1, 49

Step 3: Divide
Divide 4214 by the largest perfect square you found in the previous step:

4214 / 49 = 86

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 4214 in its simplest form:


7	√	86

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Decimal Form
Square Root of 4214 in Decimal form rounded to nearest 5 decimals:

64.91533

Exponent Form
Square Root of 4214 written with Exponent instead of Radical:

4214^½ = 7 x 86^½

Simplify Square Root of 4215
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* List of Perfect Squares