Question

Ok i was wondering if you guys could tell me whether my answers are right or wrong

Answer 1

@StudyGurl14

Answer 2

\(\large\tt \#1:\color{red}{incorrect}\)
\(\large 4\sqrt{2}+7\sqrt{2}-3\sqrt{2}=(4+7-3)\sqrt{2}=8\sqrt{2}\)

Answer 3

\(\large\tt\#2:\color{green}{correct}\)

Answer 4

\(\large\tt\#3:\color{red}{incorrect}\)
\(\large 7\sqrt{3}-4\sqrt{6}+\sqrt{48}-\sqrt{54}\rightarrow 7\sqrt{3}-4\sqrt{6}+\sqrt{16\times3}-\sqrt{9\times6}\)
\(\large\rightarrow 7\sqrt{3}-4\sqrt{6}+4\sqrt{3}-3\sqrt{6}\rightarrow 11\sqrt{3}-7\sqrt{6}\)

Answer 5

@StudyGurl14

Answer 6

\(\large \sqrt{3}(\sqrt{21})\rightarrow\sqrt{63}\rightarrow\sqrt{9\times7}\rightarrow 3\sqrt{7}\)

Answer 7

^ for #4

Answer 8

\(\large\tt\#5:\color{red}{incorrect}\)
\(\large\sqrt{5}(10-4\sqrt{2})\rightarrow 10\sqrt{5}-4\sqrt{20}\)
none of the above

Answer 9

\(\large\tt\#6:\color{red}{incorrect}\)
\(\large 2\sqrt{3}-2\sqrt{3}=0\)
0 is rational

Answer 10

\(\large\tt\#7:\color{green}{correct}\)

Answer 11

\(\large\tt\#8:\color{green}{correct}\)

Answer 12

\(\large\tt\#8:\color{red}{incorrect}\)
\(\large\sqrt{2}(5+\sqrt{8})\rightarrow 5\sqrt{2}+\sqrt{16}\rightarrow4+5\sqrt{2}\)

Answer 13

@AsapHershey

Answer 14

@StudyGurl14

Answer 15

sorry, i meant #9 for the last one