Simplify Square Root of 7888

Here we will show you step-by-step how to simplify the square root of 7888. The square root of 7888 can be written as follows:


	√	7888

The √ symbol is called the radical sign. To simplify the square root of 7888 means to get the simplest radical form of √7888.

Step 1: List Factors
List the factors of 7888 like so:

1, 2, 4, 8, 16, 17, 29, 34, 58, 68, 116, 136, 232, 272, 464, 493, 986, 1972, 3944, 7888

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

1, 4, 16

Step 3: Divide
Divide 7888 by the largest perfect square you found in the previous step:

7888 / 16 = 493

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 7888 in its simplest form:


4	√	493

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Decimal Form
Square Root of 7888 in Decimal form rounded to nearest 5 decimals:

88.81441

Exponent Form
Square Root of 7888 written with Exponent instead of Radical:

7888^½ = 4 x 493^½

Simplify Square Root of 7889
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* List of Perfect Squares