Question

help with radicals

Answer 1

\[\sqrt{5}(10-4\sqrt{2})\]

Answer 2

@mathmale

Answer 3

i just don't get radicals

Answer 4

Again, jonny, I'm wondering what the instructions for this problem are. Won't you please post them here?

Answer 5

there were no directions to this one... but its from multiplying and dividing of radicals secton

Answer 6

Well, in that case, let's go ahead and multiply out the expression you've shared.
\[\sqrt{5}(10-4\sqrt{2})\]has two terms inside the parentheses. One by one, multiply each of these two terms by Sqrt(5).

What is the product \[\sqrt{5}(10)?\]

What is the product \[\sqrt{5}\sqrt{2}? \

Answer 7

Ignore that last line. What is the product \[\sqrt{5}(-4\sqrt{2})?\]

Answer 8

i have no idea.. what happend to the 10?

Answer 9

I was asking you to do the two multiplications separately in the hope that this would make the problem seem less daunting.

Answer 10

10(a-b) = 10a -10b. Comfortable with that? This is the "distributive property of multiplication."

Answer 11

yeah

Answer 12

thus, \[\sqrt{5}(10-4\sqrt{2})=10\sqrt{5}-4( ~?~)\]

Answer 13

hmm i kinda get it

Answer 14

\[5(-4\sqrt{2})\]could be re-arranged if you like, to look like\[-4\sqrt{5}\sqrt{2}\]

Answer 15

What's the answer to that?

Answer 16

\[-4\sqrt{10}\]

Answer 17

that's great.

Answer 18

would that be the answer

Answer 19

14
\[15\sqrt{2}\]
\[15\sqrt{2} -4\sqrt{10}\]
none of the above

Answer 20

@mathmale