Simplify Square Root of 456

Here we will show you step-by-step how to simplify the square root of 456. The square root of 456 can be written as follows:


	√	456

The √ symbol is called the radical sign. To simplify the square root of 456 means to get the simplest radical form of √456.

Step 1: List Factors
List the factors of 456 like so:

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

1, 4

Step 3: Divide
Divide 456 by the largest perfect square you found in the previous step:

456 / 4 = 114

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 456 in its simplest form:


2	√	114

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Decimal Form
Square Root of 456 in Decimal form rounded to nearest 5 decimals:

21.35416

Exponent Form
Square Root of 456 written with Exponent instead of Radical:

456^½ = 2 x 114^½

Simplify Square Root of 457
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* List of Perfect Squares