Simplify Square Root of 9212

Here we will show you step-by-step how to simplify the square root of 9212. The square root of 9212 can be written as follows:


	√	9212

The √ symbol is called the radical sign. To simplify the square root of 9212 means to get the simplest radical form of √9212.

Step 1: List Factors
List the factors of 9212 like so:

1, 2, 4, 7, 14, 28, 47, 49, 94, 98, 188, 196, 329, 658, 1316, 2303, 4606, 9212

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

1, 4, 49, 196

Step 3: Divide
Divide 9212 by the largest perfect square you found in the previous step:

9212 / 196 = 47

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

√196 = 14

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 9212 in its simplest form:


14	√	47

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Decimal Form
Square Root of 9212 in Decimal form rounded to nearest 5 decimals:

95.97916

Exponent Form
Square Root of 9212 written with Exponent instead of Radical:

9212^½ = 14 x 47^½

Simplify Square Root of 9213
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* List of Perfect Squares