Simplify Square Root of 2144

Here we will show you step-by-step how to simplify the square root of 2144. The square root of 2144 can be written as follows:


	√	2144

The √ symbol is called the radical sign. To simplify the square root of 2144 means to get the simplest radical form of √2144.

Step 1: List Factors
List the factors of 2144 like so:

1, 2, 4, 8, 16, 32, 67, 134, 268, 536, 1072, 2144

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

1, 4, 16

Step 3: Divide
Divide 2144 by the largest perfect square you found in the previous step:

2144 / 16 = 134

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

√16 = 4

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2144 in its simplest form:


4	√	134

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Decimal Form
Square Root of 2144 in Decimal form rounded to nearest 5 decimals:

46.30335

Exponent Form
Square Root of 2144 written with Exponent instead of Radical:

2144^½ = 4 x 134^½

Simplify Square Root of 2145
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* List of Perfect Squares