Question

Simplify. (screenshot below)

Answer 1

k do u know what to do first @Sparklestaraa ?

Answer 2

\[7\sqrt{3}-4\sqrt{6}+\sqrt{8\cdot 6} -\sqrt{9\cdot 6}\]

Answer 3

\[8 = 2^3~,~ 9 = 3^2\]

Answer 4

For every pair of numbers under a square root, 1 comes out.

Answer 5

\[7\sqrt{3}-4\sqrt{6}+\sqrt{8\cdot 6} -\sqrt{9\cdot 6}\]\[=7\sqrt{3} -4\sqrt{6} +\sqrt{2^2 \cdot 2 \cdot 6} - \sqrt{3^2 \cdot 6}\]\[=7\sqrt{3} -4\sqrt{6} +2\sqrt{12} - 3\sqrt{6}\]\[=7\sqrt{3} - 4\sqrt{6} +2\sqrt{2^2 \cdot 3} -3\sqrt{6}\]\[=7\sqrt{3}-4\sqrt{6}+4\sqrt{3}-3\sqrt{6}\]Combine like terms. \[=\color{red}{7\sqrt{3}}\color{blue}{-4\sqrt{6}}\color{red}{+4\sqrt{3}} \color{blue}{-3\sqrt{6}}\]

Answer 6

I'm still honestly a little confused @Jhannybean

Answer 7

@fatZak

Answer 8

leave the\[7\sqrt{6}-4\sqrt{6}\] you cannot simplefied them any further

Answer 9

-3\[-3\sqrt{9}\]

Answer 10

come to this two part, first the\[\sqrt{48}\] which two numbers when multiplyh will give you 42 and one is a perfect square

Answer 11

3 and 16

Answer 12

3 x 16 =48

Answer 13

\[\sqrt{16}\times \sqrt{3}\]

Answer 14

\[\sqrt{16}=4\] so now \[\sqrt{48}= 4\sqrt{3}\]

Answer 15

see thats my problem thats not even a choice

Answer 16

i think i just have to simplify not solve

Answer 17

my choices are in the pic above

Answer 18

lets go to the \[\sqrt{54}\] 9*6=54 \[\sqrt{9}\times \sqrt{6}\]\[\sqrt{9}=3\]\[\sqrt{9}\times \sqrt{6}=3\sqrt{6}\]

Answer 19

wallah im so confused

Answer 20

now we have \[7\sqrt{3}-4\sqrt{6}+4\sqrt{3}-3\sqrt{6}\]\[11\sqrt{3}-7\sqrt{6}\]

Answer 21

ok

Answer 22

If you simplified my expression you would have gotten the same answer.

Answer 23

\(\color{blue}{\text{Originally Posted by}}\) @Jhannybean
\[7\sqrt{3}-4\sqrt{6}+\sqrt{8\cdot 6} -\sqrt{9\cdot 6}\]\[=7\sqrt{3} -4\sqrt{6} +\sqrt{2^2 \cdot 2 \cdot 6} - \sqrt{3^2 \cdot 6}\]\[=7\sqrt{3} -4\sqrt{6} +2\sqrt{12} - 3\sqrt{6}\]\[=7\sqrt{3} - 4\sqrt{6} +2\sqrt{2^2 \cdot 3} -3\sqrt{6}\]\[=7\sqrt{3}-4\sqrt{6}+4\sqrt{3}-3\sqrt{6}\]Combine like terms. \[=\color{red}{7\sqrt{3}}\color{blue}{-4\sqrt{6}}\color{red}{+4\sqrt{3}} \color{blue}{-3\sqrt{6}}\]
\(\color{blue}{\text{End of Quote}}\)

\[(-4-3)\sqrt{6} +(7+4)\sqrt{3} = -7\sqrt{6} +11\sqrt{3} \]