Simplify Square Root of 6348

Here we will show you step-by-step how to simplify the square root of 6348. The square root of 6348 can be written as follows:


	√	6348

The √ symbol is called the radical sign. To simplify the square root of 6348 means to get the simplest radical form of √6348.

Step 1: List Factors
List the factors of 6348 like so:

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 529, 1058, 1587, 2116, 3174, 6348

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

1, 4, 529, 2116

Step 3: Divide
Divide 6348 by the largest perfect square you found in the previous step:

6348 / 2116 = 3

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

√2116 = 46

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6348 in its simplest form:


46	√	3

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Decimal Form
Square Root of 6348 in Decimal form rounded to nearest 5 decimals:

79.67434

Exponent Form
Square Root of 6348 written with Exponent instead of Radical:

6348^½ = 46 x 3^½

Simplify Square Root of 6349
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* List of Perfect Squares