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OpenStudy (anonymous):

simplifying radicals

OpenStudy (anonymous):

\[\sqrt{28}+3\sqrt{7}\]

OpenStudy (anonymous):

how would you simplify this radical expression ^

OpenStudy (anonymous):

Notice that 28 = 4 * 7, and therefore Sqrt[28] = Sqrt[4 * 7].

OpenStudy (anonymous):

\[\sqrt{28}+3\sqrt{7}=\sqrt{4}\sqrt{7} + 3\sqrt{7} = \sqrt{7} (2+3) = 5\sqrt{7}\]

OpenStudy (anonymous):

how would you simplify his radical expresssion:: \[\sqrt{5}-3\sqrt{5}\]

OpenStudy (anonymous):

Like the third step in my previous answer

OpenStudy (radar):

\[\sqrt{5}(1-3)\] take it from there.

OpenStudy (anonymous):

how would you simplify this radical expression::\[\sqrt{5}(\sqrt{3}+2\sqrt{5)}\]

OpenStudy (anonymous):

\[\sqrt{5}\sqrt{3 }+2\sqrt{5}\sqrt{5}=\sqrt{15} +10\]

OpenStudy (anonymous):

i'm still a bit confused on how to simplify radicals; how would you simplify this one? \[2\sqrt{45}-6\sqrt{5}\]

OpenStudy (anonymous):

\[2\sqrt{9}\sqrt{5}-6\sqrt{5} =0\] What happened to the other?

OpenStudy (anonymous):

9 = 3*3, 3*2 = 6, and 6-6=0

OpenStudy (anonymous):

U OK with these now?

OpenStudy (anonymous):

no!!!!!

OpenStudy (anonymous):

OK, what isn't clear? All of it, some of it...?

OpenStudy (anonymous):

\[\sqrt{28}+3\sqrt{7}\]

OpenStudy (anonymous):

i just dont understand it at all

OpenStudy (anonymous):

But u do understand what a square root is?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Alright, so what's \[\sqrt{28}\sqrt{28}\]

OpenStudy (anonymous):

i dont have time to sit here and do this i just need a simple explaination on radicals!

OpenStudy (anonymous):

How much time do you have?

OpenStudy (anonymous):

i just nean explination on radicals because i have to finish this test!

OpenStudy (anonymous):

I used to call them surds. I suppose you could read this http://en.wikipedia.org/wiki/Nth_root

OpenStudy (anonymous):

All the properties (rules and definitions) are there.

OpenStudy (anonymous):

or i just need answers!

OpenStudy (anonymous):

Well, I can give you the answers if that's all you want...

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