What is 2√20 - 4√45 + 7√12 in simplest radical form? Show your work!
Mathematics · Middle School · Thu Feb 04 2021
llm
Answered on
We have, 2√20 - 4√45 + 7√12
we know:
2√20 = 2√(2^2 * 5) = 2(2)√5 = 4√5
4√45 = 4√(3^2 * 5) = 4(3)√5 = 12√5
7√12 = 7√(2^2 * 3) = 7(2)√3 = 14√3
Substituting the values in given expression :
= 4√5 - 12√5 + 14√3
= 14√3 - 8√5
Thus, given expression can be written as 14√3 - 8√5.