Simplify Square Root of 7140

Here we will show you step-by-step how to simplify the square root of 7140. The square root of 7140 can be written as follows:


	√	7140

The √ symbol is called the radical sign. To simplify the square root of 7140 means to get the simplest radical form of √7140.

Step 1: List Factors
List the factors of 7140 like so:

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 17, 20, 21, 28, 30, 34, 35, 42, 51, 60, 68, 70, 84, 85, 102, 105, 119, 140, 170, 204, 210, 238, 255, 340, 357, 420, 476, 510, 595, 714, 1020, 1190, 1428, 1785, 2380, 3570, 7140

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

1, 4

Step 3: Divide
Divide 7140 by the largest perfect square you found in the previous step:

7140 / 4 = 1785

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7140 in its simplest form:


2	√	1785

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Decimal Form
Square Root of 7140 in Decimal form rounded to nearest 5 decimals:

84.49852

Exponent Form
Square Root of 7140 written with Exponent instead of Radical:

7140^½ = 2 x 1785^½

Simplify Square Root of 7141
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* List of Perfect Squares