Simplify Square Root of 4140

Here we will show you step-by-step how to simplify the square root of 4140. The square root of 4140 can be written as follows:


	√	4140

The √ symbol is called the radical sign. To simplify the square root of 4140 means to get the simplest radical form of √4140.

Step 1: List Factors
List the factors of 4140 like so:

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 30, 36, 45, 46, 60, 69, 90, 92, 115, 138, 180, 207, 230, 276, 345, 414, 460, 690, 828, 1035, 1380, 2070, 4140

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

1, 4, 9, 36

Step 3: Divide
Divide 4140 by the largest perfect square you found in the previous step:

4140 / 36 = 115

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 4140 in its simplest form:


6	√	115

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Decimal Form
Square Root of 4140 in Decimal form rounded to nearest 5 decimals:

64.34283

Exponent Form
Square Root of 4140 written with Exponent instead of Radical:

4140^½ = 6 x 115^½

Simplify Square Root of 4141
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* List of Perfect Squares