Simplify Square Root of 6456

Here we will show you step-by-step how to simplify the square root of 6456. The square root of 6456 can be written as follows:


	√	6456

The √ symbol is called the radical sign. To simplify the square root of 6456 means to get the simplest radical form of √6456.

Step 1: List Factors
List the factors of 6456 like so:

1, 2, 3, 4, 6, 8, 12, 24, 269, 538, 807, 1076, 1614, 2152, 3228, 6456

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

1, 4

Step 3: Divide
Divide 6456 by the largest perfect square you found in the previous step:

6456 / 4 = 1614

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 6456 in its simplest form:


2	√	1614

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Decimal Form
Square Root of 6456 in Decimal form rounded to nearest 5 decimals:

80.34924

Exponent Form
Square Root of 6456 written with Exponent instead of Radical:

6456^½ = 2 x 1614^½

Simplify Square Root of 6457
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* List of Perfect Squares