Simplify Square Root of 2058

Here we will show you step-by-step how to simplify the square root of 2058. The square root of 2058 can be written as follows:


	√	2058

The √ symbol is called the radical sign. To simplify the square root of 2058 means to get the simplest radical form of √2058.

Step 1: List Factors
List the factors of 2058 like so:

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 343, 686, 1029, 2058

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

1, 49

Step 3: Divide
Divide 2058 by the largest perfect square you found in the previous step:

2058 / 49 = 42

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

√49 = 7

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2058 in its simplest form:


7	√	42

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Decimal Form
Square Root of 2058 in Decimal form rounded to nearest 5 decimals:

45.36518

Exponent Form
Square Root of 2058 written with Exponent instead of Radical:

2058^½ = 7 x 42^½

Simplify Square Root of 2059
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* List of Perfect Squares