A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

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

  • This Question is Closed
  1. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    We need to write it out with numbers.

  2. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(5 \sqrt 7 + 12 \sqrt 6 - 10 \sqrt 7 - 5 \sqrt 6\)

  3. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Is that it?

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[5\sqrt{7} + 12\sqrt{6} - 10\sqrt{7} - 5\sqrt{6}

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes

  6. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Ok. 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?

  7. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now we combine like terms \(=-5\sqrt{7} + 7\sqrt{6}\)

  8. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You can also leave it as \(=7\sqrt 6 - 5 \sqrt 7\) Both answers are equivalent and correct.

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you

  10. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You're welcome.

  11. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.