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Mathematics 8 Online
OpenStudy (anonymous):

can someone please show me how to solve this, step by step?

OpenStudy (anonymous):

\[\frac{ \sqrt{50} }{ 3 }+\frac{ 5\sqrt{3} }{ 6}\]

OpenStudy (anonymous):

help, i need a step by step answer

OpenStudy (cwrw238):

i think you mean write this as a single fraction? it is not an equation

OpenStudy (anonymous):

yes

OpenStudy (cwrw238):

ok first we need to make the denominators of the fractions the same so multiply first fraction by 2 to give: 2sqrt50 5sqrt3 ------ + ------ 6 6 now add the numerators to give 2qrt50 + 5sqrt3 -------------- 6 now simplify the numerator - do you have some knowledge of simplifying radicals?

OpenStudy (anonymous):

yes a little

OpenStudy (anonymous):

50=\[\sqrt{25}\sqrt{2}\]

OpenStudy (cwrw238):

right and that = 5 sqrt2 right?

OpenStudy (anonymous):

yes...correct

OpenStudy (cwrw238):

so can you finish it off?

OpenStudy (anonymous):

so how do i add them together,?

OpenStudy (cwrw238):

yes = 5sqrt2 + 5sqrt3 ------------- 6 so factor the top and you have it

OpenStudy (anonymous):

i get 10

OpenStudy (cwrw238):

oh no: sqrt2 and sqrt3 are different animals correct is 5(sqrt2 + sqrt3) -------------- 6

OpenStudy (anonymous):

o u dont add those

OpenStudy (anonymous):

the answer is \[\frac{ 10\sqrt{2}+5\sqrt{3} }{ 6}\] where did the 5 come from? i thought they were added together

OpenStudy (phi):

in the original problem, notice that the first fraction is divided by 3 you want to make that a 6 (for common denominators) you want \[ \frac{2 \sqrt{50}}{6} + \frac{5\sqrt{3}}{6}\]

OpenStudy (phi):

which is what cwrw did

OpenStudy (phi):

now rewrite sqrt(50) as 5 sqrt(2) \[ \frac{2 \cdot 5 \sqrt{2}+5\sqrt{3}}{6}\]

OpenStudy (anonymous):

ooooo.....ok thats the part that threw me off....wow ok

OpenStudy (anonymous):

thanks!! thanks for the medal too lol

OpenStudy (anonymous):

can u answer another for me

OpenStudy (cwrw238):

sorry - i missed out the 2 in 2* sqrt50

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