Simplify Square Root of 7146

Here we will show you step-by-step how to simplify the square root of 7146. The square root of 7146 can be written as follows:


	√	7146

The √ symbol is called the radical sign. To simplify the square root of 7146 means to get the simplest radical form of √7146.

Step 1: List Factors
List the factors of 7146 like so:

1, 2, 3, 6, 9, 18, 397, 794, 1191, 2382, 3573, 7146

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

1, 9

Step 3: Divide
Divide 7146 by the largest perfect square you found in the previous step:

7146 / 9 = 794

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 7146 in its simplest form:


3	√	794

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Decimal Form
Square Root of 7146 in Decimal form rounded to nearest 5 decimals:

84.53402

Exponent Form
Square Root of 7146 written with Exponent instead of Radical:

7146^½ = 3 x 794^½

Simplify Square Root of 7147
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* List of Perfect Squares