Question

what is the simplified form of 11sqrt(8)+6sqrt(12)-5sqrt(2)

Answer 1

you need to write each radical as a multiple of sqrt(2)

\[\sqrt{8} = \sqrt{4\times2} = \sqrt{4}\times \sqrt{2} = 2\sqrt{2}\]

so \[11\sqrt{8} = 11\times2\sqrt{2} = 22\sqrt{2}\]

you need to do the same type of thing for

\[6\sqrt{12}\]

Answer 2

not quite.... here is the start

\[6\sqrt{12} = 6\sqrt{4 \times3}\]

so in your question you will have 2 like terms, (sqrt(2) and one that is sqrt(3)

Answer 3

so at the moment you have

\[22\sqrt{2} + 6\sqrt{4\times3} - 5\sqrt{2}\]

Answer 4

okay

Answer 5

then you have

\[(22 - 5)\sqrt{2} + 6\sqrt{4\times3}\]

Answer 6

okay

Answer 7

\[17\sqrt{2} + 6\sqrt{4}\times \sqrt{3}\]

I'll let you finish it

Answer 8

well what would i do because there's no like terms?

Answer 9

\[17\sqrt{2} + 12\sqrt{3}\]