Simplify Square Root of 1875

Here we will show you step-by-step how to simplify the square root of 1875. The square root of 1875 can be written as follows:


	√	1875

The √ symbol is called the radical sign. To simplify the square root of 1875 means to get the simplest radical form of √1875.

Step 1: List Factors
List the factors of 1875 like so:

1, 3, 5, 15, 25, 75, 125, 375, 625, 1875

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

1, 25, 625

Step 3: Divide
Divide 1875 by the largest perfect square you found in the previous step:

1875 / 625 = 3

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

√625 = 25

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 1875 in its simplest form:


25	√	3

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Decimal Form
Square Root of 1875 in Decimal form rounded to nearest 5 decimals:

43.30127

Exponent Form
Square Root of 1875 written with Exponent instead of Radical:

1875^½ = 25 x 3^½

Simplify Square Root of 1876
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* List of Perfect Squares