Simplify Square Root of 3870

Here we will show you step-by-step how to simplify the square root of 3870. The square root of 3870 can be written as follows:


	√	3870

The √ symbol is called the radical sign. To simplify the square root of 3870 means to get the simplest radical form of √3870.

Step 1: List Factors
List the factors of 3870 like so:

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870

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

1, 9

Step 3: Divide
Divide 3870 by the largest perfect square you found in the previous step:

3870 / 9 = 430

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 3870 in its simplest form:


3	√	430

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Decimal Form
Square Root of 3870 in Decimal form rounded to nearest 5 decimals:

62.20932

Exponent Form
Square Root of 3870 written with Exponent instead of Radical:

3870^½ = 3 x 430^½

Simplify Square Root of 3871
The answer to Simplify Square Root of 3870 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares