Simplify Square Root of 772

Here we will show you step-by-step how to simplify the square root of 772. The square root of 772 can be written as follows:


	√	772

The √ symbol is called the radical sign. To simplify the square root of 772 means to get the simplest radical form of √772.

Step 1: List Factors
List the factors of 772 like so:

1, 2, 4, 193, 386, 772

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

1, 4

Step 3: Divide
Divide 772 by the largest perfect square you found in the previous step:

772 / 4 = 193

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 772 in its simplest form:


2	√	193

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Decimal Form
Square Root of 772 in Decimal form rounded to nearest 5 decimals:

27.78489

Exponent Form
Square Root of 772 written with Exponent instead of Radical:

772^½ = 2 x 193^½

Simplify Square Root of 773
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* List of Perfect Squares