263,068 views
34 votes
34 votes
Can I add
2√(3) + 5√(3) further?

User Madplay
by
2.8k points

2 Answers

20 votes
20 votes


\sf{\qquad\qquad\huge\underline{{\sf Answer}}}

Yes, The terms assigned above are alike so they can be added easily by simple algebric method where root number can be treated as a variable.


\qquad \sf  \dashrightarrow \: 2 √(3) + 5 √(3)


\qquad \sf  \dashrightarrow \: (2 + 5) √(3)


\qquad \sf  \dashrightarrow \: 7 √(3)

User Doron
by
3.3k points
20 votes
20 votes

Yes, they can be added and simplified further. 2√3 + 5√3 = 7√3 .

Take √3 as common factor:

2√3 + 5√3

(2 + 5)√3

7√3

The two irrational numbers sums to form another irrational number 7√3 . In decimals that is 12.12435...

User Kartben
by
3.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.