Simplify Square Root of 6420

Here we will show you step-by-step how to simplify the square root of 6420. The square root of 6420 can be written as follows:


	√	6420

The √ symbol is called the radical sign. To simplify the square root of 6420 means to get the simplest radical form of √6420.

Step 1: List Factors
List the factors of 6420 like so:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 107, 214, 321, 428, 535, 642, 1070, 1284, 1605, 2140, 3210, 6420

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

1, 4

Step 3: Divide
Divide 6420 by the largest perfect square you found in the previous step:

6420 / 4 = 1605

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 6420 in its simplest form:


2	√	1605

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Decimal Form
Square Root of 6420 in Decimal form rounded to nearest 5 decimals:

80.1249

Exponent Form
Square Root of 6420 written with Exponent instead of Radical:

6420^½ = 2 x 1605^½

Simplify Square Root of 6421
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* List of Perfect Squares