Here we will show you step-by-step how to simplify the square root of 18. The square root of 18 can be written as follows:
√ | 18 |
The √ symbol is called the radical sign. To simplify the square root of 18 means to get the simplest radical form of √18.
Step 1: List Factors
List the factors of 18 like so:
1, 2, 3, 6, 9, 18
Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:
1, 9
Step 3: Divide
Divide 18 by the largest perfect square you found in the previous step:
18 / 9 = 2
Step 4: Calculate
Calculate the square root of the largest perfect square:
√9 = 3
Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 18 in its simplest form:
3 | √ | 2 |
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Decimal Form
Square Root of 18 in Decimal form rounded to nearest 5 decimals:
4.24264
Exponent Form
Square Root of 18 written with Exponent instead of Radical:
18½ = 3 x 2½
Simplify Square Root of 19
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* List of Perfect Squares
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