Simplify Square Root of 1896

Here we will show you step-by-step how to simplify the square root of 1896. The square root of 1896 can be written as follows:


	√	1896

The √ symbol is called the radical sign. To simplify the square root of 1896 means to get the simplest radical form of √1896.

Step 1: List Factors
List the factors of 1896 like so:

1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948, 1896

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

1, 4

Step 3: Divide
Divide 1896 by the largest perfect square you found in the previous step:

1896 / 4 = 474

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 1896 in its simplest form:


2	√	474

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Decimal Form
Square Root of 1896 in Decimal form rounded to nearest 5 decimals:

43.54308

Exponent Form
Square Root of 1896 written with Exponent instead of Radical:

1896^½ = 2 x 474^½

Simplify Square Root of 1897
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* List of Perfect Squares