Simplify Square Root of 7760

Here we will show you step-by-step how to simplify the square root of 7760. The square root of 7760 can be written as follows:


	√	7760

The √ symbol is called the radical sign. To simplify the square root of 7760 means to get the simplest radical form of √7760.

Step 1: List Factors
List the factors of 7760 like so:

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 97, 194, 388, 485, 776, 970, 1552, 1940, 3880, 7760

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

1, 4, 16

Step 3: Divide
Divide 7760 by the largest perfect square you found in the previous step:

7760 / 16 = 485

Step 4: Calculate
Calculate the square root of the largest perfect square:

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7760 in its simplest form:


4	√	485

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Decimal Form
Square Root of 7760 in Decimal form rounded to nearest 5 decimals:

88.09086

Exponent Form
Square Root of 7760 written with Exponent instead of Radical:

7760^½ = 4 x 485^½

Simplify Square Root of 7761
The answer to Simplify Square Root of 7760 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares