Simplify Square Root of 1638

Here we will show you step-by-step how to simplify the square root of 1638. The square root of 1638 can be written as follows:


	√	1638

The √ symbol is called the radical sign. To simplify the square root of 1638 means to get the simplest radical form of √1638.

Step 1: List Factors
List the factors of 1638 like so:

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819, 1638

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

1, 9

Step 3: Divide
Divide 1638 by the largest perfect square you found in the previous step:

1638 / 9 = 182

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1638 in its simplest form:


3	√	182

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Decimal Form
Square Root of 1638 in Decimal form rounded to nearest 5 decimals:

40.47221

Exponent Form
Square Root of 1638 written with Exponent instead of Radical:

1638^½ = 3 x 182^½

Simplify Square Root of 1639
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* List of Perfect Squares