Simplify Square Root of 7440

Here we will show you step-by-step how to simplify the square root of 7440. The square root of 7440 can be written as follows:


	√	7440

The √ symbol is called the radical sign. To simplify the square root of 7440 means to get the simplest radical form of √7440.

Step 1: List Factors
List the factors of 7440 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720, 7440

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

1, 4, 16

Step 3: Divide
Divide 7440 by the largest perfect square you found in the previous step:

7440 / 16 = 465

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 7440 in its simplest form:


4	√	465

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Decimal Form
Square Root of 7440 in Decimal form rounded to nearest 5 decimals:

86.25543

Exponent Form
Square Root of 7440 written with Exponent instead of Radical:

7440^½ = 4 x 465^½

Simplify Square Root of 7441
The answer to Simplify Square Root of 7440 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares