Question

Subtracting radicals?

Answer 1

\[\left( 7-√54 \right) - \left( 5+√24 \right)\]

Answer 2

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?

Answer 3

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

Answer 4

Distribute -1 to the brackets..

Answer 5

\[-1(5+2 \sqrt{6}) = ??\]

Answer 6

= -5-2√6

Answer 7

Yep..

Answer 8

Now:

\[7- 3\sqrt{6} - 5 - 2\sqrt{6} = ??\]

Answer 9

2-5√6? D:

Answer 10

Then where is the problem??


Yes, well done...

Answer 11

I guess I just needed a walkthrough. Hah thanks!