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Maths Help (Surds)

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#1
Brandon W

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Yesterday in Maths C we were working with Surds. Surds are one of my favourite things about maths and I can do them really well. Well from how far we have gone with them as of now. We have done Simplifying and all the operations. But there is one question that I don't understand.

Quote

1/2 √100a^3b^2 + ab √36a - 5 √4a^2b
1/2 x 10ab √a + 6ab √a - 10a √b
5ab √a + 6ab √a - 10a √b
11ab √a - 10a √b

That was it. I understand all of it, besides one thing. From the first line to the second line. In the first term in the square root it is a^3 but on the second line there is one taken outside of the square root and a second left in the square root. What happened to the third one? This repeats in the last term.

Anyone please explain? I asks the teacher to explain and I didn't understand.
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#2
mendim.

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MAybe MathXpert knows something about them .. :S
Cause i never heard about them :$ ..

#3
WingedPanther

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Brandon W said:

Yesterday in Maths C we were working with Surds. Surds are one of my favourite things about maths and I can do them really well. Well from how far we have gone with them as of now. We have done Simplifying and all the operations. But there is one question that I don't understand.

1/2 √100a^3b^2 + ab √36a - 5 √4a^2b
1/2 x 10ab √a + 6ab √a - 10a √b
5ab √a + 6ab √a - 10a √b
11ab √a - 10a √b


That was it. I understand all of it, besides one thing. From the first line to the second line. In the first term in the square root it is a^3 but on the second line there is one taken outside of the square root and a second left in the square root. What happened to the third one? This repeats in the last term.

Anyone please explain? I asks the teacher to explain and I didn't understand.

In the US we call them radicals. Here's the details from line one to line two:

1/2 √(100a^3b^2) + ab √(36a) - 5 √(4a^2b)
1/2 √(10*10 a*a*a b*b) + ab √(6*6 a) - 5 √(2*2 a*a b)
1/2 √(10*10 a*a b*b) √(a) + ab √(6*6) √(a) - 5 √(2*2 a*a) √(b)
1/2 x 10ab √a + 6ab √a - 10a √b

In general, √(a*a) = a
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#4
Brandon W

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Thanks mendim. Not the greatest help LOL, but yer I know of MathXpert. But I don't know how much he knows in the area of Maths.

But I know Winged has a Master in Mathematics so that is why I came here and posted here. I knew that Winged will be able to help me with all my Maths. So thank-you Winged, now I understand what the teacher was talking about. I might need more of your help so keep a look out in "The Lounge"

Thanks.
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#5
WingedPanther

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My watchful eye is EVERYWHERE! bwahahahahaha!
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#6
Brandon W

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LOL, of course Winged :) It's your role :)
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#7
Xav

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@WP: That is a little bit weird. Calm down. ;)
Jordan said:

Good members, like yourself, stick around and post for ages to come!
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#8
WingedPanther

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Sorry, I must have been on a caffeine buzz :D mmm... Caffeine!
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#9
Xav

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I hope it isn't near bedtime over in America. :)
Jordan said:

Good members, like yourself, stick around and post for ages to come!
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#10
MathX

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Too bad that this is the first time I see this thread. I could have been helpful too but thanks good we have WP here. He is the best, no doubt on that.

I am not visiting CC much recently couse I am preparing for exams, but is anyone here needs help, don't ever hesitate to PM me :D.

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#11
Egz0N

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lol .. "Thanks Good" .. i though it was "Thanks GOD" :p

#12
Brandon W

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Thanks for the offer MathX :)

Winged, how much cups of coffee/tea do you have day?
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Sorry if I don't post as often as I did, I'll try to get here as much as possible! I'm working my bum off to get this scholarship and other stuff!