pokemon23
Can someone tutor me in multiplying and dividing radicals? Please no nonsense I want to learning
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Mimi_x3
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Hm..i said that i will help you :/
pokemon23
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|dw:1326159651743:dw|
Mimi_x3
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Just multiply.
\[5*7\sqrt{8*3} \]
UnkleRhaukus
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\[{1 \over√a} = {1 \over√a} \times {√a \over √a}={√a \over a}\]
pokemon23
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so?
Mimi_x3
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can't you times it.
Mimi_x3
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Yes!
pokemon23
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|dw:1326159934510:dw|
Mimi_x3
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Correct!
Mimi_x3
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Want to simplify it further?
pokemon23
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yes please
pokemon23
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how do you simplify it further?
BlingBlong
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what times what gives 24, 6*4
so
35(6)^(1/2)*(4)^(1/2)
or
\[35\sqrt{4}\sqrt{6}\]
pokemon23
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can we simplify it further
BlingBlong
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now you can take the square root of 4
which is 2
therefore you are left with
35(2)(6)^(1/2)
BlingBlong
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which is just equal to
\[70\sqrt{6}\]
pokemon23
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so its |dw:1326160227547:dw|
pokemon23
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how can we simplify it their?
BlingBlong
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you can't
BlingBlong
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if you take the square root of 2 you end up with an irrational number which can only be approximated
Mimi_x3
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Pokemon, you can just use a calculator to check, if you type that in the calculator, it won't equal the same to \[5\sqrt{8}*7\sqrt{3} \]
pokemon23
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|dw:1326160630061:dw| to the solution
Mimi_x3
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\[35*2\sqrt{6} \]
Mimi_x3
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since \[\sqrt{4} = 2\]
pokemon23
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how? how did you get the solution
Mimi_x3
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Hmm...where don't you understand?
It has been explained thoroughly.
BlingBlong
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2*2 is = 4, when you take the square of a number it will tell you what two exact numbers can be multiplied together to give you the original number
BlingBlong
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Radicals are simply the opposite of exponents.
If you had just say
3^(3)
=
(3)(3)(3) = 27
27^(1/3)
=3
BlingBlong
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Thus (4)^(1/2) = 2
because
2*2 = 4
BlingBlong
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You need to memorize the fundamental rule in radicals that
(ab)^(1/2) = \[\sqrt{a}\sqrt{b}\]
BlingBlong
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if you wish to simplify radicals further, usually I'm to lazy to do this though :d
Mimi_x3
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You can simplify it further but you don't need to, it depends on the question.
BlingBlong
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In your case
35(24)^(1/2) =
\[35\sqrt{6}\sqrt{4}\]
pokemon23
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thanks for the help
BlingBlong
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since 35 is being multiplied by the radical when (4)^(1/2) is simplified to 2 you are left with
35(2)(6)^(1/2)
if you take the square root of 6 you are going to end up with a very ugly number and in mathematics they usually like you to deal with exact numbers
pokemon23
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you can reduce to 35|dw:1326161502375:dw|
BlingBlong
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No problem I hope you have gained a better understanding of radicals, I would recommend look up the fundamental rules of radicals
BlingBlong
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Once you know all the basic algebraic laws, math becomes a lot easier
BlingBlong
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the final answer being 70(6)^(1/2) but I will stop posting now :D