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Mathematics 17 Online
OpenStudy (anonymous):

Multiplying and Dividing Irrationals

OpenStudy (anonymous):

(8+√5)(8−√5)

OpenStudy (anonymous):

(7 + √2)(8 - 3√2)

OpenStudy (anonymous):

These are the two I am having trouble with. :/

OpenStudy (anonymous):

@dpaInc Can you help me? :D

OpenStudy (anonymous):

just FOIL them out... for this one (8+√5)(8−√5) = 64 -5 = 59 for this one: (7 + √2)(8 - 3√2) = 56 - 21sqrt2 + 8sqrt2 - 24*2 = 56-48 - 13sqrt2 simplify...

OpenStudy (anonymous):

be right back...

OpenStudy (anonymous):

Kk.

OpenStudy (anonymous):

Err... 56 - 48 - 13sqrt2 isn't an option. :S

OpenStudy (anonymous):

no

OpenStudy (anonymous):

The options are 50, 50 - 13sqrt2, 50 + 28sqrt2, 3 - sqrt2

OpenStudy (anonymous):

(7 + √2)(8 - 3√2) = 56 - 21sqrt2 + 8sqrt2 - 3*2 = 50-13sqrt2

OpenStudy (anonymous):

Oh! :D Ok, wait... my major question is now "what are the rules for simplifying irrational numbers?"

OpenStudy (anonymous):

Like sqrt numbers bug me. A lot.

OpenStudy (anonymous):

\[\sqrt50 \over \sqrt5\] = \[\sqrt10\] Right?

OpenStudy (inkyvoyd):

@Austin_Rain , yes.

OpenStudy (anonymous):

Alright. Thanks! :)

OpenStudy (anonymous):

@dpaInc \[\sqrt5(8 + 3\sqrt6) = 8\sqrt5 + 3\sqrt30\]

OpenStudy (inkyvoyd):

@Austin_Rain , that's correct.

OpenStudy (anonymous):

Ok :)

OpenStudy (anonymous):

Thanks.

OpenStudy (anonymous):

sorry man I was out again...

OpenStudy (anonymous):

I see. :P

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