Question

Simplify. 3 square root of 10 end root plus 7 square root of 15 end root minus 6 square root of 10 end root minus 4 square root of 15

3 square root of 10 end root minus 3 square root of 15
3 square root of 15 end root minus 3 square root of 10
3 square root of 30 end root minus 3 square root of 20
3 square root of 20 end root minus 3 square root of 30

Answer 1

@lizz123

Answer 2

http://gyazo.com/21f4004834f21304a8891ddafcc3700a

Answer 3

Is this the problem?

\(3\sqrt{10} + 7 \sqrt{15} - 6 \sqrt{10} - 4 \sqrt{15}\)

Answer 4

???@mathstudent55

Answer 5

Terms with sqrt(10) are like terms and can be combined together.
Terms with sqrt(15) are like terms and can be combined together.

Answer 6

ok @mathstudent55

Answer 7

@lizz123 already told me that it was the 2nd one but thanks anyways

Answer 8

she explained to me also :)

Answer 9

\(\color{red}{3\sqrt{10}} + \color{green}{7 \sqrt{15}} + \color{red}{- 6 \sqrt{10}} + \color{green}{- 4 \sqrt{15}}\)

\(= \color{red}{3\sqrt{10}} + \color{red}{- 6 \sqrt{10}} + \color{green}{7 \sqrt{15}} + \color{green}{- 4 \sqrt{15}}\)

\(= \color{red}{3\sqrt{10}} \color{red}{- 6 \sqrt{10}} + \color{green}{7 \sqrt{15}} \color{green}{- 4 \sqrt{15}}\)

\(= \color{red}{-3\sqrt{10}} + \color{green}{3 \sqrt{15}}\)

\(= \color{green}{3 \sqrt{15}} \color{red}{-3\sqrt{10}} \)

\(= 3 \sqrt{15} -3\sqrt{10} \)