Simplify Square Root of 7065

Here we will show you step-by-step how to simplify the square root of 7065. The square root of 7065 can be written as follows:


	√	7065

The √ symbol is called the radical sign. To simplify the square root of 7065 means to get the simplest radical form of √7065.

Step 1: List Factors
List the factors of 7065 like so:

1, 3, 5, 9, 15, 45, 157, 471, 785, 1413, 2355, 7065

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

1, 9

Step 3: Divide
Divide 7065 by the largest perfect square you found in the previous step:

7065 / 9 = 785

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 7065 in its simplest form:


3	√	785

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Decimal Form
Square Root of 7065 in Decimal form rounded to nearest 5 decimals:

84.05355

Exponent Form
Square Root of 7065 written with Exponent instead of Radical:

7065^½ = 3 x 785^½

Simplify Square Root of 7066
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* List of Perfect Squares