anonymous
  • anonymous
Subtracting radicals?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
\[\left( 7-√54 \right) - \left( 5+√24 \right)\]
anonymous
  • anonymous
You can split each radical up like so: \[\sqrt{54} = \sqrt{6 \times 9}\] You can also perform the same for the other radical: \[\sqrt{24} = \sqrt{6 \times 4}\] Once you've done that, you can pull out any perfect squares that you have found. In this case, you've just found 9 and 4, which root down to 3 and 2, respectively. Now you have: \[\left( 7- 3\sqrt{6} \right) - \left( 5 + 2\sqrt{6} \right)\] Does that help?
anonymous
  • anonymous
I've gotten as far as that, simplifying the radicals. But I'm confused as to how to go about the subtracting with a subtraction problem within a subtraction problem

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anonymous
  • anonymous
Distribute -1 to the brackets..
anonymous
  • anonymous
\[-1(5+2 \sqrt{6}) = ??\]
anonymous
  • anonymous
= -5-2√6
anonymous
  • anonymous
Yep..
anonymous
  • anonymous
Now: \[7- 3\sqrt{6} - 5 - 2\sqrt{6} = ??\]
anonymous
  • anonymous
2-5√6? D:
anonymous
  • anonymous
Then where is the problem?? Yes, well done...
anonymous
  • anonymous
I guess I just needed a walkthrough. Hah thanks!

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