Simplify Square Root of 1404

Here we will show you step-by-step how to simplify the square root of 1404. The square root of 1404 can be written as follows:


	√	1404

The √ symbol is called the radical sign. To simplify the square root of 1404 means to get the simplest radical form of √1404.

Step 1: List Factors
List the factors of 1404 like so:

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404

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

1, 4, 9, 36

Step 3: Divide
Divide 1404 by the largest perfect square you found in the previous step:

1404 / 36 = 39

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

√36 = 6

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1404 in its simplest form:


6	√	39

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Decimal Form
Square Root of 1404 in Decimal form rounded to nearest 5 decimals:

37.46999

Exponent Form
Square Root of 1404 written with Exponent instead of Radical:

1404^½ = 6 x 39^½

Simplify Square Root of 1405
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* List of Perfect Squares