Simplify Square Root of 4374

Here we will show you step-by-step how to simplify the square root of 4374. The square root of 4374 can be written as follows:


	√	4374

The √ symbol is called the radical sign. To simplify the square root of 4374 means to get the simplest radical form of √4374.

Step 1: List Factors
List the factors of 4374 like so:

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374

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

1, 9, 81, 729

Step 3: Divide
Divide 4374 by the largest perfect square you found in the previous step:

4374 / 729 = 6

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

√729 = 27

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 4374 in its simplest form:


27	√	6

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Decimal Form
Square Root of 4374 in Decimal form rounded to nearest 5 decimals:

66.13622

Exponent Form
Square Root of 4374 written with Exponent instead of Radical:

4374^½ = 27 x 6^½

Simplify Square Root of 4375
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* List of Perfect Squares