Simplify Square Root of 1988

Here we will show you step-by-step how to simplify the square root of 1988. The square root of 1988 can be written as follows:


	√	1988

The √ symbol is called the radical sign. To simplify the square root of 1988 means to get the simplest radical form of √1988.

Step 1: List Factors
List the factors of 1988 like so:

1, 2, 4, 7, 14, 28, 71, 142, 284, 497, 994, 1988

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

1, 4

Step 3: Divide
Divide 1988 by the largest perfect square you found in the previous step:

1988 / 4 = 497

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 1988 in its simplest form:


2	√	497

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Decimal Form
Square Root of 1988 in Decimal form rounded to nearest 5 decimals:

44.58699

Exponent Form
Square Root of 1988 written with Exponent instead of Radical:

1988^½ = 2 x 497^½

Simplify Square Root of 1989
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* List of Perfect Squares