Simplify Square Root of 875

Here we will show you step-by-step how to simplify the square root of 875. The square root of 875 can be written as follows:


	√	875

The √ symbol is called the radical sign. To simplify the square root of 875 means to get the simplest radical form of √875.

Step 1: List Factors
List the factors of 875 like so:

1, 5, 7, 25, 35, 125, 175, 875

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

1, 25

Step 3: Divide
Divide 875 by the largest perfect square you found in the previous step:

875 / 25 = 35

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 875 in its simplest form:


5	√	35

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Decimal Form
Square Root of 875 in Decimal form rounded to nearest 5 decimals:

29.5804

Exponent Form
Square Root of 875 written with Exponent instead of Radical:

875^½ = 5 x 35^½

Simplify Square Root of 876
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* List of Perfect Squares