Simplify Square Root of 774

Here we will show you step-by-step how to simplify the square root of 774. The square root of 774 can be written as follows:


	√	774

The √ symbol is called the radical sign. To simplify the square root of 774 means to get the simplest radical form of √774.

Step 1: List Factors
List the factors of 774 like so:

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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

1, 9

Step 3: Divide
Divide 774 by the largest perfect square you found in the previous step:

774 / 9 = 86

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 774 in its simplest form:


3	√	86

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Decimal Form
Square Root of 774 in Decimal form rounded to nearest 5 decimals:

27.82086

Exponent Form
Square Root of 774 written with Exponent instead of Radical:

774^½ = 3 x 86^½

Simplify Square Root of 775
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* List of Perfect Squares