Simplify Square Root of 2140

Here we will show you step-by-step how to simplify the square root of 2140. The square root of 2140 can be written as follows:


	√	2140

The √ symbol is called the radical sign. To simplify the square root of 2140 means to get the simplest radical form of √2140.

Step 1: List Factors
List the factors of 2140 like so:

1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140

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

1, 4

Step 3: Divide
Divide 2140 by the largest perfect square you found in the previous step:

2140 / 4 = 535

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 2140 in its simplest form:


2	√	535

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Decimal Form
Square Root of 2140 in Decimal form rounded to nearest 5 decimals:

46.26013

Exponent Form
Square Root of 2140 written with Exponent instead of Radical:

2140^½ = 2 x 535^½

Simplify Square Root of 2141
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* List of Perfect Squares