anonymous
  • anonymous
Simplify 5 square root of 11 end root minus 12 square root of 11 end root minus 2 square root of 11 A. negative 33 square root of 9 B. negative 11 square root of 9 C. negative 9 square root of 11 D. negative 9 square root of 33
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
\[5\sqrt{11} - 12\sqrt{11} - 2\sqrt{11}\]
marihelenh
  • marihelenh
Because they all have the same square roots, they are like terms, so you can subtract them all together.
mathstudent55
  • mathstudent55
Let's say a positive number of dollars is money you have, and a negative number of dollars is money you owe. What is $5 - 12$ - $2 = ?

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anonymous
  • anonymous
-9
marihelenh
  • marihelenh
Yep, and then the square root stays the same because they are like terms.
mathstudent55
  • mathstudent55
Correct. You'd have -$9 It's the same with x and with \(\sqrt{11} \) Since you are combining a number of the same things, in this case all terms have \(\sqrt {11} \), just combine the coefficients and then write \(\sqrt{11} \) at the end. $5 - $12 - $2 = -$9 5x - 12x - 2x = -9x Similarly: \(5\sqrt{11} - 12\sqrt{11} - 2\sqrt{11} = -9\sqrt {11}\)
anonymous
  • anonymous
Thank you very much sir!
mathstudent55
  • mathstudent55
You're welcome.
anonymous
  • anonymous
Can you help me with 1 more?

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