Simplify Square Root of 7040

Here we will show you step-by-step how to simplify the square root of 7040. The square root of 7040 can be written as follows:


	√	7040

The √ symbol is called the radical sign. To simplify the square root of 7040 means to get the simplest radical form of √7040.

Step 1: List Factors
List the factors of 7040 like so:

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040

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

1, 4, 16, 64

Step 3: Divide
Divide 7040 by the largest perfect square you found in the previous step:

7040 / 64 = 110

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

√64 = 8

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 7040 in its simplest form:


8	√	110

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Decimal Form
Square Root of 7040 in Decimal form rounded to nearest 5 decimals:

83.90471

Exponent Form
Square Root of 7040 written with Exponent instead of Radical:

7040^½ = 8 x 110^½

Simplify Square Root of 7041
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* List of Perfect Squares