Simplify Square Root of 2675

Here we will show you step-by-step how to simplify the square root of 2675. The square root of 2675 can be written as follows:


	√	2675

The √ symbol is called the radical sign. To simplify the square root of 2675 means to get the simplest radical form of √2675.

Step 1: List Factors
List the factors of 2675 like so:

1, 5, 25, 107, 535, 2675

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

1, 25

Step 3: Divide
Divide 2675 by the largest perfect square you found in the previous step:

2675 / 25 = 107

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

√25 = 5

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2675 in its simplest form:


5	√	107

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Decimal Form
Square Root of 2675 in Decimal form rounded to nearest 5 decimals:

51.7204

Exponent Form
Square Root of 2675 written with Exponent instead of Radical:

2675^½ = 5 x 107^½

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* List of Perfect Squares