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Mathematics 9 Online
OpenStudy (anonymous):

.

OpenStudy (anonymous):

-9\[-9\sqrt32 + 9\sqrt18 + 10\sqrt8\]

OpenStudy (unklerhaukus):

factorizes the number inside the surd

OpenStudy (ash2326):

@Candy05 Did you understand?

OpenStudy (anonymous):

No I didn't.

OpenStudy (ash2326):

\[-9\sqrt32 + 9\sqrt18 + 10\sqrt8\] Is this your question?

OpenStudy (anonymous):

Yes thats my question.

OpenStudy (anonymous):

do you know how to solve for root(32) ??

OpenStudy (ash2326):

okay whenever we have a number in root, the first step is to factor the term? \[\sqrt{18}\] Could you tell me the factors of 18?

OpenStudy (anonymous):

9, 2

OpenStudy (ash2326):

Good, so we have now \[\sqrt{18}=\sqrt{9\times 2}\] Now can you factor 9?

OpenStudy (anonymous):

3,3

OpenStudy (ash2326):

We get finally \[\sqrt{18}=\sqrt{3\times 3\times 2}\] As the 3 is appearing twice in the root, we can bring it out as one 3 \[\sqrt{18}=\sqrt{\underline{3\times 3}\times 2}=3\sqrt{2}\] Do you get this?

OpenStudy (anonymous):

Yes

OpenStudy (ash2326):

Could you simplify \[\sqrt{32}\]?

OpenStudy (anonymous):

4,2

OpenStudy (ash2326):

What did you get? \[\sqrt{4\times \times 4\times 2}=4\sqrt{2}\]??

OpenStudy (anonymous):

8,4

OpenStudy (ash2326):

You made a mistake We have \[\sqrt{32}=\sqrt{4\times 4\times 2}=4\sqrt{2}\]

OpenStudy (anonymous):

Im getting confused

OpenStudy (ash2326):

Which part you don't get?

OpenStudy (anonymous):

Can you work the problem so I can see what i'm doing wrong?

OpenStudy (ash2326):

Okay, I'll show you the simplification of \(\sqrt {32}\) Let's factor it first \[32=16\times 2\] We can rewrite it as \[32=4\times 4\times 2\] so we have \[\sqrt{32}=\sqrt{\underline{4\times 4}\times 2}\] Notice that there are two 4s, we could get one out \[\sqrt{\underline{4\times 4}\times 2}=4\sqrt{2}\] Do you get this?

OpenStudy (ash2326):

@Candy05 ??

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