Simplify Square Root of 765

Here we will show you step-by-step how to simplify the square root of 765. The square root of 765 can be written as follows:


	√	765

The √ symbol is called the radical sign. To simplify the square root of 765 means to get the simplest radical form of √765.

Step 1: List Factors
List the factors of 765 like so:

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

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

1, 9

Step 3: Divide
Divide 765 by the largest perfect square you found in the previous step:

765 / 9 = 85

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 765 in its simplest form:


3	√	85

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Decimal Form
Square Root of 765 in Decimal form rounded to nearest 5 decimals:

27.65863

Exponent Form
Square Root of 765 written with Exponent instead of Radical:

765^½ = 3 x 85^½

Simplify Square Root of 766
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* List of Perfect Squares