
Here we will show you step-by-step how to simplify the square root of 220. The square root of 220 can be written as follows:
√ | 220 |
The √ symbol is called the radical sign. To simplify the square root of 220 means to get the simplest radical form of √220.
Step 1: List Factors
List the factors of 220 like so:
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 4
Step 3: Divide
Divide 220 by the largest perfect square you found in the previous step:
220 / 4 = 55
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 220 in its simplest form:
2 | √ | 55 |
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Decimal Form
Square Root of 220 in Decimal form rounded to nearest 5 decimals:
14.8324
Exponent Form
Square Root of 220 written with Exponent instead of Radical:
220½ = 2 x 55½
Simplify Square Root of 221
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* List of Perfect Squares
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