Simplify Square Root of 1924

Here we will show you step-by-step how to simplify the square root of 1924. The square root of 1924 can be written as follows:


	√	1924

The √ symbol is called the radical sign. To simplify the square root of 1924 means to get the simplest radical form of √1924.

Step 1: List Factors
List the factors of 1924 like so:

1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924

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

1, 4

Step 3: Divide
Divide 1924 by the largest perfect square you found in the previous step:

1924 / 4 = 481

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 1924 in its simplest form:


2	√	481

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Decimal Form
Square Root of 1924 in Decimal form rounded to nearest 5 decimals:

43.86342

Exponent Form
Square Root of 1924 written with Exponent instead of Radical:

1924^½ = 2 x 481^½

Simplify Square Root of 1925
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* List of Perfect Squares