Question

would \[2\sqrt{8}\]+\[3\sqrt{8}\]=\[5\sqrt{8}\]?

Answer 1

yes, thats true
once you factor out sqrt 8

Answer 2

and that can be simplified further

Answer 3

any doubts?

Answer 4

umm i cant see how it can be simplified?

Answer 5

You can still simplify your final answer: \[5\sqrt{8} = ?\]

Answer 6

can you factor 8?

Answer 7

8

2 & 4

2 & 2 & 2
?

Answer 8

good,
so, \(\large \sqrt8=\sqrt{4\times 2}=\sqrt4 \times \sqrt2=....?\)
and you know whats the square root of 4 ?

Answer 9

\[2\sqrt{2}\]?

Answer 10

absolutely correct :)
so 5 sqrt 8 will be = 10 sqrt 2
got it ?

Answer 11

so you times the 5 by the 2 outside, but not the 2 inside?

Answer 12

2 by 5**

Answer 13

yes,
the \(\sqrt 2\) remains as is .
\(5\sqrt 8 = 5\times 2\sqrt 2 =10 \sqrt2\)

Answer 14

oh.. i should have written it out!

Answer 15

thanks very much!

Answer 16

welcomes very much ^_^