Simplify Square Root of 2888

Here we will show you step-by-step how to simplify the square root of 2888. The square root of 2888 can be written as follows:


	√	2888

The √ symbol is called the radical sign. To simplify the square root of 2888 means to get the simplest radical form of √2888.

Step 1: List Factors
List the factors of 2888 like so:

1, 2, 4, 8, 19, 38, 76, 152, 361, 722, 1444, 2888

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

1, 4, 361, 1444

Step 3: Divide
Divide 2888 by the largest perfect square you found in the previous step:

2888 / 1444 = 2

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

√1444 = 38

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2888 in its simplest form:


38	√	2

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Decimal Form
Square Root of 2888 in Decimal form rounded to nearest 5 decimals:

53.74012

Exponent Form
Square Root of 2888 written with Exponent instead of Radical:

2888^½ = 38 x 2^½

Simplify Square Root of 2889
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* List of Perfect Squares