Simplify Square Root of 6360

Here we will show you step-by-step how to simplify the square root of 6360. The square root of 6360 can be written as follows:


	√	6360

The √ symbol is called the radical sign. To simplify the square root of 6360 means to get the simplest radical form of √6360.

Step 1: List Factors
List the factors of 6360 like so:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 53, 60, 106, 120, 159, 212, 265, 318, 424, 530, 636, 795, 1060, 1272, 1590, 2120, 3180, 6360

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

1, 4

Step 3: Divide
Divide 6360 by the largest perfect square you found in the previous step:

6360 / 4 = 1590

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

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 6360 in its simplest form:


2	√	1590

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Decimal Form
Square Root of 6360 in Decimal form rounded to nearest 5 decimals:

79.74961

Exponent Form
Square Root of 6360 written with Exponent instead of Radical:

6360^½ = 2 x 1590^½

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* List of Perfect Squares