Question

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Answer 1

\[10\sqrt[4]{6} + 4\sqrt[3]{6} - 9\sqrt[3]{6} - 3\sqrt[4]{6}\]

Answer 2

@jim_thompson5910

Answer 3

What are the common terms here

Answer 4

\[10\sqrt[4]{6} and 3\sqrt[4]{6}\]

Answer 5

\[4\sqrt[3]{6} and 9\sqrt[3]{6}\]

Answer 6

good, so combine those pairs of like terms

Answer 7

for example,

\(\large 10\sqrt[4]{6}\) and \(\large -3\sqrt[4]{6}\)

combine to

\(\large 10\sqrt[4]{6} -3\sqrt[4]{6}\)

\(\large (10 -3)\sqrt[4]{6}\)

\(\large 7\sqrt[4]{6}\)

Answer 8

how about the other pair of terms? what do they combine to?

Answer 9

\[-5\sqrt[3]{6}\]

Answer 10

so the answer is \[7\sqrt[4]{6} - 5\sqrt[3]{6}\]

Answer 11

@jim_thompson5910

Answer 12

good you got it

Answer 13

what about 2√6 ?

Answer 14

whats also an answer choice.

Answer 15

you want to simplify this?

Answer 16

Well it has what i said then my bf said 2√6 and thats also an answer choice.

Answer 17

oh no it's \[7\sqrt[4]{6} - 5\sqrt[3]{6}\] like you said

Answer 18

I have another if you dont mind @jim_thompson5910

Answer 19

\[\sqrt{10} (4-\sqrt{5}) + \sqrt{8} (\sqrt{5}+2)\]

Answer 20

\[\Large \sqrt{10} (4-\sqrt{5}) + \sqrt{8} (\sqrt{5}+2)\]


\[\Large \sqrt{10} (4)-\sqrt{10} \sqrt{5} + \sqrt{8}\sqrt{5}+\sqrt{8}(2)\]


\[\Large 4\sqrt{10}-\sqrt{10*5} + \sqrt{8*5}+2\sqrt{8}\]


\[\Large 4\sqrt{10}-\sqrt{50} + \sqrt{40}+2\sqrt{8}\]


\[\Large 4\sqrt{10}-\sqrt{25*2} + \sqrt{4*10}+2\sqrt{4*2}\]


\[\Large 4\sqrt{10}-\sqrt{25}*\sqrt{2} + \sqrt{4}*\sqrt{10}+2\sqrt{4}\sqrt{2}\]


\[\Large 4\sqrt{10}-5\sqrt{2} + 2\sqrt{10}+2*2\sqrt{2}\]


\[\Large 4\sqrt{10}-5\sqrt{2} + 2\sqrt{10}+4\sqrt{2}\]


\[\Large 6\sqrt{10}-\sqrt{2}\]

Answer 21

Thank youuu!

Answer 22

yw

Answer 23

\[\frac{ 2 }{ 6-\sqrt{3} } \]

Answer 24

Last one i Promise. lol

Answer 25

@jim_thompson5910

Answer 26

multiply top and bottom by \(\Large 6+\sqrt{3}\) and tell me what you get

Answer 27

12 over √ 3

Answer 28

no you should get this

Answer 29

\[\Large \frac{ 2 }{ 6-\sqrt{3} } \]


\[\Large \frac{ 2(6+\sqrt{3}) }{ (6-\sqrt{3})(6+\sqrt{3}) } \]


\[\Large \frac{ 2(6+\sqrt{3}) }{ 6^2 - \left(\sqrt{3}\right)^2 } \]


\[\Large \frac{ 2(6+\sqrt{3}) }{ 36 - 3 } \]


\[\Large \frac{ 2(6+\sqrt{3}) }{ 33 } \]


\[\Large \frac{ 12+2\sqrt{3} }{ 33 } \]

Answer 30

Thanks!

Answer 31

np