Simplify Square Root of 2142

Here we will show you step-by-step how to simplify the square root of 2142. The square root of 2142 can be written as follows:


	√	2142

The √ symbol is called the radical sign. To simplify the square root of 2142 means to get the simplest radical form of √2142.

Step 1: List Factors
List the factors of 2142 like so:

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142

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

1, 9

Step 3: Divide
Divide 2142 by the largest perfect square you found in the previous step:

2142 / 9 = 238

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 2142 in its simplest form:


3	√	238

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Decimal Form
Square Root of 2142 in Decimal form rounded to nearest 5 decimals:

46.28175

Exponent Form
Square Root of 2142 written with Exponent instead of Radical:

2142^½ = 3 x 238^½

Simplify Square Root of 2143
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* List of Perfect Squares