Simplify Square Root of 375

Here we will show you step-by-step how to simplify the square root of 375. The square root of 375 can be written as follows:


	√	375

The √ symbol is called the radical sign. To simplify the square root of 375 means to get the simplest radical form of √375.

Step 1: List Factors
List the factors of 375 like so:

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

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

1, 25

Step 3: Divide
Divide 375 by the largest perfect square you found in the previous step:

375 / 25 = 15

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 375 in its simplest form:


5	√	15

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Decimal Form
Square Root of 375 in Decimal form rounded to nearest 5 decimals:

19.36492

Exponent Form
Square Root of 375 written with Exponent instead of Radical:

375^½ = 5 x 15^½

Simplify Square Root of 376
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* List of Perfect Squares