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-9\[-9\sqrt32 + 9\sqrt18 + 10\sqrt8\]
factorizes the number inside the surd
@Candy05 Did you understand?
No I didn't.
\[-9\sqrt32 + 9\sqrt18 + 10\sqrt8\] Is this your question?
Yes thats my question.
do you know how to solve for root(32) ??
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?
9, 2
Good, so we have now \[\sqrt{18}=\sqrt{9\times 2}\] Now can you factor 9?
3,3
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?
Yes
Could you simplify \[\sqrt{32}\]?
4,2
What did you get? \[\sqrt{4\times \times 4\times 2}=4\sqrt{2}\]??
8,4
You made a mistake We have \[\sqrt{32}=\sqrt{4\times 4\times 2}=4\sqrt{2}\]
Im getting confused
Which part you don't get?
Can you work the problem so I can see what i'm doing wrong?
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?
@Candy05 ??
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