Simplify Square Root of 4221

Here we will show you step-by-step how to simplify the square root of 4221. The square root of 4221 can be written as follows:


	√	4221

The √ symbol is called the radical sign. To simplify the square root of 4221 means to get the simplest radical form of √4221.

Step 1: List Factors
List the factors of 4221 like so:

1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221

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

1, 9

Step 3: Divide
Divide 4221 by the largest perfect square you found in the previous step:

4221 / 9 = 469

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 4221 in its simplest form:


3	√	469

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Decimal Form
Square Root of 4221 in Decimal form rounded to nearest 5 decimals:

64.96922

Exponent Form
Square Root of 4221 written with Exponent instead of Radical:

4221^½ = 3 x 469^½

Simplify Square Root of 4222
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* List of Perfect Squares