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anonymous
 one year ago
Simplify 5 square root of 7 end root plus 12 square root of 6 end root minus 10 square root of 7 end root minus 5 square root of 6.
A.5 square root of 14 end root minus 7 square root of 12
B. 5 square root of 7 end root minus 7 square root of 6
C. 7 square root of 12 end root minus 5 square root of 14
D. 7 square root of 6 end root minus 5 square root of 7
anonymous
 one year ago
Simplify 5 square root of 7 end root plus 12 square root of 6 end root minus 10 square root of 7 end root minus 5 square root of 6. A.5 square root of 14 end root minus 7 square root of 12 B. 5 square root of 7 end root minus 7 square root of 6 C. 7 square root of 12 end root minus 5 square root of 14 D. 7 square root of 6 end root minus 5 square root of 7

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We need to write it out with numbers.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(5 \sqrt 7 + 12 \sqrt 6  10 \sqrt 7  5 \sqrt 6\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[5\sqrt{7} + 12\sqrt{6}  10\sqrt{7}  5\sqrt{6}

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Ok. Terms that have the same root are like terms and can be combined. There are two terms with \(\sqrt 6\) and two terms with \(\sqrt 7\). We can change the order of the operations and group the like terms together. \(5\sqrt{7} + 12\sqrt{6}  10\sqrt{7}  5\sqrt{6} \) \(=5\sqrt{7}  10\sqrt{7} + 12\sqrt{6}  5\sqrt{6} \) Ok?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now we combine like terms \(=5\sqrt{7} + 7\sqrt{6}\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1You can also leave it as \(=7\sqrt 6  5 \sqrt 7\) Both answers are equivalent and correct.
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