Simplify Square Root of 378

Here we will show you step-by-step how to simplify the square root of 378. The square root of 378 can be written as follows:


	√	378

The √ symbol is called the radical sign. To simplify the square root of 378 means to get the simplest radical form of √378.

Step 1: List Factors
List the factors of 378 like so:

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

1, 9

Step 3: Divide
Divide 378 by the largest perfect square you found in the previous step:

378 / 9 = 42

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

√9 = 3

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 378 in its simplest form:


3	√	42

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Decimal Form
Square Root of 378 in Decimal form rounded to nearest 5 decimals:

19.44222

Exponent Form
Square Root of 378 written with Exponent instead of Radical:

378^½ = 3 x 42^½

Simplify Square Root of 379
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* List of Perfect Squares