Simplify Square Root of 920

Here we will show you step-by-step how to simplify the square root of 920. The square root of 920 can be written as follows:


	√	920

The √ symbol is called the radical sign. To simplify the square root of 920 means to get the simplest radical form of √920.

Step 1: List Factors
List the factors of 920 like so:

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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

1, 4

Step 3: Divide
Divide 920 by the largest perfect square you found in the previous step:

920 / 4 = 230

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 920 in its simplest form:


2	√	230

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Decimal Form
Square Root of 920 in Decimal form rounded to nearest 5 decimals:

30.3315

Exponent Form
Square Root of 920 written with Exponent instead of Radical:

920^½ = 2 x 230^½

Simplify Square Root of 921
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* List of Perfect Squares