Simplify Square Root of 2645

Here we will show you step-by-step how to simplify the square root of 2645. The square root of 2645 can be written as follows:


	√	2645

The √ symbol is called the radical sign. To simplify the square root of 2645 means to get the simplest radical form of √2645.

Step 1: List Factors
List the factors of 2645 like so:

1, 5, 23, 115, 529, 2645

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

1, 529

Step 3: Divide
Divide 2645 by the largest perfect square you found in the previous step:

2645 / 529 = 5

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

√529 = 23

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2645 in its simplest form:


23	√	5

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Decimal Form
Square Root of 2645 in Decimal form rounded to nearest 5 decimals:

51.42956

Exponent Form
Square Root of 2645 written with Exponent instead of Radical:

2645^½ = 23 x 5^½

Simplify Square Root of 2646
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* List of Perfect Squares