Simplify Square Root of 7965

Here we will show you step-by-step how to simplify the square root of 7965. The square root of 7965 can be written as follows:


	√	7965

The √ symbol is called the radical sign. To simplify the square root of 7965 means to get the simplest radical form of √7965.

Step 1: List Factors
List the factors of 7965 like so:

1, 3, 5, 9, 15, 27, 45, 59, 135, 177, 295, 531, 885, 1593, 2655, 7965

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

1, 9

Step 3: Divide
Divide 7965 by the largest perfect square you found in the previous step:

7965 / 9 = 885

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 7965 in its simplest form:


3	√	885

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Decimal Form
Square Root of 7965 in Decimal form rounded to nearest 5 decimals:

89.24685

Exponent Form
Square Root of 7965 written with Exponent instead of Radical:

7965^½ = 3 x 885^½

Simplify Square Root of 7966
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* List of Perfect Squares