Simplify Square Root of 8456

Here we will show you step-by-step how to simplify the square root of 8456. The square root of 8456 can be written as follows:


	√	8456

The √ symbol is called the radical sign. To simplify the square root of 8456 means to get the simplest radical form of √8456.

Step 1: List Factors
List the factors of 8456 like so:

1, 2, 4, 7, 8, 14, 28, 56, 151, 302, 604, 1057, 1208, 2114, 4228, 8456

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

1, 4

Step 3: Divide
Divide 8456 by the largest perfect square you found in the previous step:

8456 / 4 = 2114

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 8456 in its simplest form:


2	√	2114

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Decimal Form
Square Root of 8456 in Decimal form rounded to nearest 5 decimals:

91.95651

Exponent Form
Square Root of 8456 written with Exponent instead of Radical:

8456^½ = 2 x 2114^½

Simplify Square Root of 8457
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* List of Perfect Squares