Simplify Square Root of 4875

Here we will show you step-by-step how to simplify the square root of 4875. The square root of 4875 can be written as follows:


	√	4875

The √ symbol is called the radical sign. To simplify the square root of 4875 means to get the simplest radical form of √4875.

Step 1: List Factors
List the factors of 4875 like so:

1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625, 4875

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

1, 25

Step 3: Divide
Divide 4875 by the largest perfect square you found in the previous step:

4875 / 25 = 195

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 4875 in its simplest form:


5	√	195

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Decimal Form
Square Root of 4875 in Decimal form rounded to nearest 5 decimals:

69.8212

Exponent Form
Square Root of 4875 written with Exponent instead of Radical:

4875^½ = 5 x 195^½

Simplify Square Root of 4876
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* List of Perfect Squares