Simplify Square Root of 7640

Here we will show you step-by-step how to simplify the square root of 7640. The square root of 7640 can be written as follows:


	√	7640

The √ symbol is called the radical sign. To simplify the square root of 7640 means to get the simplest radical form of √7640.

Step 1: List Factors
List the factors of 7640 like so:

1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640

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

1, 4

Step 3: Divide
Divide 7640 by the largest perfect square you found in the previous step:

7640 / 4 = 1910

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 7640 in its simplest form:


2	√	1910

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Decimal Form
Square Root of 7640 in Decimal form rounded to nearest 5 decimals:

87.40709

Exponent Form
Square Root of 7640 written with Exponent instead of Radical:

7640^½ = 2 x 1910^½

Simplify Square Root of 7641
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* List of Perfect Squares