Find the value of:
\[\frac{ 2\sqrt{3} }{ \sqrt{10}}\]
in simplest form.
bye
\(\dfrac{2\sqrt{3}}{\sqrt{10}}\times \dfrac{\sqrt{10}}{\sqrt{10}}=\dfrac{2\sqrt{3}\times\sqrt{10}}{10}=\dfrac{2\sqrt{30}}{10}=\dfrac{\sqrt{30}}{5}\)
This is because you cannot have a radical in the denominator, so you have to multiply both top and bottom by said radical.
find the value of \[\frac{ \sqrt{6} }{ 5\sqrt{3} }\]
in simplest form.
You do the same thing, multiply both top and bottom by \(5\sqrt{3}\), and then simplify from there.
can u walk me through it
What is \(5\sqrt{3}\times5\sqrt{3}\)?
idk
Do you have a calculator? If not, try www.wolframalpha.com
525
Think of it like this, \(5\times 5=25\) \(\sqrt{3}\times\sqrt{3}=3\) \(25\times3=?\)
75
Correct, and what is \(\sqrt{6}\times5\sqrt{3}\)
\[15\sqrt{2}\]
Correct, so now we have \(\dfrac{15\sqrt{2}}{75}\) How would you simplify that?
idk this website is freaking stupid
\(75\div 15=?\)
5
Correct, so now we have \(\large{\dfrac{\sqrt{2}}{5}}\) \(\color{red}{D}\color{blue}{O}\color{green}{N}\color{purple}{E}\)
Yes you're right because 75 divided by 15 equals to 5.
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