Simplify Square Root of 3800

Here we will show you step-by-step how to simplify the square root of 3800. The square root of 3800 can be written as follows:


	√	3800

The √ symbol is called the radical sign. To simplify the square root of 3800 means to get the simplest radical form of √3800.

Step 1: List Factors
List the factors of 3800 like so:

1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800

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

1, 4, 25, 100

Step 3: Divide
Divide 3800 by the largest perfect square you found in the previous step:

3800 / 100 = 38

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

√100 = 10

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3800 in its simplest form:


10	√	38

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Decimal Form
Square Root of 3800 in Decimal form rounded to nearest 5 decimals:

61.64414

Exponent Form
Square Root of 3800 written with Exponent instead of Radical:

3800^½ = 10 x 38^½

Simplify Square Root of 3801
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* List of Perfect Squares