can someone please show me how to solve this, step by step?
\[\frac{ \sqrt{50} }{ 3 }+\frac{ 5\sqrt{3} }{ 6}\]
help, i need a step by step answer
i think you mean write this as a single fraction? it is not an equation
yes
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?
yes a little
50=\[\sqrt{25}\sqrt{2}\]
right and that = 5 sqrt2 right?
yes...correct
so can you finish it off?
so how do i add them together,?
yes = 5sqrt2 + 5sqrt3 ------------- 6 so factor the top and you have it
i get 10
oh no: sqrt2 and sqrt3 are different animals correct is 5(sqrt2 + sqrt3) -------------- 6
o u dont add those
the answer is \[\frac{ 10\sqrt{2}+5\sqrt{3} }{ 6}\] where did the 5 come from? i thought they were added together
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 \[ \frac{2 \sqrt{50}}{6} + \frac{5\sqrt{3}}{6}\]
which is what cwrw did
now rewrite sqrt(50) as 5 sqrt(2) \[ \frac{2 \cdot 5 \sqrt{2}+5\sqrt{3}}{6}\]
ooooo.....ok thats the part that threw me off....wow ok
thanks!! thanks for the medal too lol
can u answer another for me
sorry - i missed out the 2 in 2* sqrt50
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