(4/√2) + (2/√3) = ? a) (4√3 + 2√2) / (√5) b) (4√3 + 2√2) / (√6) c) (6) / (√2 + √3) d) (6) / (√5) e) (8) / (√6)
i chose d. but i think its wrong
\[\frac{ 4 }{ \sqrt{2} }+\frac{ 2 }{ \sqrt{3} }\]
i added them straight across... not sure if the same denominator still works if they are roots
Get a common denominator \[\frac{ 4\sqrt{3} }{ \sqrt{2}\sqrt{3}}+\frac{ 2\sqrt{2} }{ \sqrt{2}\sqrt{3}}\]
the LCD of sqrt3 and sqrt 2 is sqrt 6 to get the denominator multiply each term by sqrt 6
Can you see where this is going yet?
well the denominators equal √5 and √5... i dont think you add them. Yea! no adding! the numerators dont change. sooo B.
\[\frac{ 4\sqrt{3}+2\sqrt{2} }{ \sqrt{6} }\] based on \[\sqrt{a}\sqrt{b}=\sqrt{ab}\] I don't think they want you to crunch numbers. I think they want you to use your understanding of how products of square roots relate.
ohhhh times not add.
thanks you guys!
:)
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