Simplify Square Root of 460

Here we will show you step-by-step how to simplify the square root of 460. The square root of 460 can be written as follows:


	√	460

The √ symbol is called the radical sign. To simplify the square root of 460 means to get the simplest radical form of √460.

Step 1: List Factors
List the factors of 460 like so:

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

1, 4

Step 3: Divide
Divide 460 by the largest perfect square you found in the previous step:

460 / 4 = 115

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 460 in its simplest form:


2	√	115

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Decimal Form
Square Root of 460 in Decimal form rounded to nearest 5 decimals:

21.44761

Exponent Form
Square Root of 460 written with Exponent instead of Radical:

460^½ = 2 x 115^½

Simplify Square Root of 461
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* List of Perfect Squares