Simplify Square Root of 1644

Here we will show you step-by-step how to simplify the square root of 1644. The square root of 1644 can be written as follows:


	√	1644

The √ symbol is called the radical sign. To simplify the square root of 1644 means to get the simplest radical form of √1644.

Step 1: List Factors
List the factors of 1644 like so:

1, 2, 3, 4, 6, 12, 137, 274, 411, 548, 822, 1644

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

1, 4

Step 3: Divide
Divide 1644 by the largest perfect square you found in the previous step:

1644 / 4 = 411

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 1644 in its simplest form:


2	√	411

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Decimal Form
Square Root of 1644 in Decimal form rounded to nearest 5 decimals:

40.54627

Exponent Form
Square Root of 1644 written with Exponent instead of Radical:

1644^½ = 2 x 411^½

Simplify Square Root of 1645
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* List of Perfect Squares