Simplify Square Root of 2890

Here we will show you step-by-step how to simplify the square root of 2890. The square root of 2890 can be written as follows:


	√	2890

The √ symbol is called the radical sign. To simplify the square root of 2890 means to get the simplest radical form of √2890.

Step 1: List Factors
List the factors of 2890 like so:

1, 2, 5, 10, 17, 34, 85, 170, 289, 578, 1445, 2890

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

1, 289

Step 3: Divide
Divide 2890 by the largest perfect square you found in the previous step:

2890 / 289 = 10

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

√289 = 17

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2890 in its simplest form:


17	√	10

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Decimal Form
Square Root of 2890 in Decimal form rounded to nearest 5 decimals:

53.75872

Exponent Form
Square Root of 2890 written with Exponent instead of Radical:

2890^½ = 17 x 10^½

Simplify Square Root of 2891
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* List of Perfect Squares