Simplify Square Root of 7988

Here we will show you step-by-step how to simplify the square root of 7988. The square root of 7988 can be written as follows:


	√	7988

The √ symbol is called the radical sign. To simplify the square root of 7988 means to get the simplest radical form of √7988.

Step 1: List Factors
List the factors of 7988 like so:

1, 2, 4, 1997, 3994, 7988

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

1, 4

Step 3: Divide
Divide 7988 by the largest perfect square you found in the previous step:

7988 / 4 = 1997

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 7988 in its simplest form:


2	√	1997

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Decimal Form
Square Root of 7988 in Decimal form rounded to nearest 5 decimals:

89.37561

Exponent Form
Square Root of 7988 written with Exponent instead of Radical:

7988^½ = 2 x 1997^½

Simplify Square Root of 7989
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* List of Perfect Squares