Simplify the radical expression. Show all your steps. √363 - 3√27
Mathematics · Middle School · Tue Nov 03 2020
Answered on
The answer is 2√3.
To get the solution, first we need to factor out all the perfect squares in the roots of √363 - 3√27.
> √363 - 3√27
> √(11²)3 - 3√(3²)3
Then, free the perfect squares inside the square root by cancelling their “²”. Example 3² becomes 3 in order to get out.
> 11√3- 3(3)√3
Then subtract in order to simplify. You can not SUBTRACT the numbers inside the square root symbol so √3 stays √3.
> 11√3- 9√3
> 2√3 is the final answer.