66.8k views
5 votes
Is the sum of 8√9 and √12 rational or irrational? Explain your answer.

User Gruber
by
6.7k points

1 Answer

5 votes

Answer:

irrational

Explanation:

√9 = 3

12 = 2² x 3

√12 = 2√3


8 x 3 + 2√3

24 + 2√3

2(12+√3)


since √3 is an irrational number the whole expression gives an irrational number

User Evading
by
6.3k points
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