Simplify (-10-sqrt125)/25
HI!!
Hello can you help please!
\[125=25\times 3\] so \[\sqrt{125}=\sqrt{25\times 3}=\sqrt{25}\sqrt3=5\sqrt3\]
Don't you mean 25 x 5?
so you have \[\frac{-10-5\sqrt5}{5}\] as a start divide each by 5
oops yeah that is what i meant sorry last box is correct though
Also what happened to the 25? How did it turn into a 5
\[\frac{-10-5\sqrt5}{5}\] each gets divided by \(5\)
it turned in to a five because you were taking the square root of 25 \[\large \sqrt{125}=\sqrt{25\times 5}=\color{red}{\sqrt{25}}\sqrt5=\color{red}5\sqrt5\]
If each was divided by 5 then wouldn't it be (-2 - sqrt5)/5
no
when you divide by 5, there is no more denominator
\[-\frac{10}{5}=-2\\ -\frac{5\sqrt5}{5}=-\sqrt5\]
final answer \[-2-\sqrt5\] the \(5\) in the denominator is gone
can u help me misty please
Okay I see
oh wait hold on i made a mistake sorry
the denominator is 25, not 5, you were right to begin with
your answer was correct, only a five cancels so you were correct \[\frac{-2-\sqrt5}{5}\]
yes , this one is correct :) @misty1212
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