Question

I need help with the problem, 4 sqrt(u) (sqrt(6) + 7sqrt(24))
Every time I do it I'm somehow wrong...

Answer 1

is that really a \(u\) in the first term?

Answer 2

\[4\sqrt{u}(\sqrt{6} + 7\sqrt{24})\]

Answer 3

oh , so it is a \(u\)

Answer 4

Yeah

Answer 5

since \(24=4\times 6\) you have \(\sqrt{24}=\sqrt{4\times 6}=\sqrt{4}\sqrt{6}=2\sqrt{6}\) making this \[4\sqrt{u}(\sqrt{6} + 14\sqrt{6})\]

Answer 6

then combine like terms, which gives you
\[4\sqrt{u}\times 15\sqrt{6}\]

Answer 7

I've been able to get that far but after that I somehow mess up...

Answer 8

final answer would be \(60\sqrt{6u}\)

Answer 9

Ohh I forgot about the 1 before the sqrt(6)

Answer 10

Thank you so much!!

Answer 11

the one?
yw