Simplify Square Root of 7480

Here we will show you step-by-step how to simplify the square root of 7480. The square root of 7480 can be written as follows:


	√	7480

The √ symbol is called the radical sign. To simplify the square root of 7480 means to get the simplest radical form of √7480.

Step 1: List Factors
List the factors of 7480 like so:

1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85, 88, 110, 136, 170, 187, 220, 340, 374, 440, 680, 748, 935, 1496, 1870, 3740, 7480

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

1, 4

Step 3: Divide
Divide 7480 by the largest perfect square you found in the previous step:

7480 / 4 = 1870

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 7480 in its simplest form:


2	√	1870

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Decimal Form
Square Root of 7480 in Decimal form rounded to nearest 5 decimals:

86.48699

Exponent Form
Square Root of 7480 written with Exponent instead of Radical:

7480^½ = 2 x 1870^½

Simplify Square Root of 7481
The answer to Simplify Square Root of 7480 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares