pokemon23
  • pokemon23
Can someone tutor me in multiplying and dividing radicals? Please no nonsense I want to learning
Mathematics
schrodinger
  • schrodinger
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Mimi_x3
  • Mimi_x3
Hm..i said that i will help you :/
pokemon23
  • pokemon23
|dw:1326159651743:dw|
Mimi_x3
  • Mimi_x3
Just multiply. \[5*7\sqrt{8*3} \]

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UnkleRhaukus
  • UnkleRhaukus
\[{1 \over√a} = {1 \over√a} \times {√a \over √a}={√a \over a}\]
pokemon23
  • pokemon23
so?
Mimi_x3
  • Mimi_x3
can't you times it.
Mimi_x3
  • Mimi_x3
Yes!
pokemon23
  • pokemon23
|dw:1326159934510:dw|
Mimi_x3
  • Mimi_x3
Correct!
Mimi_x3
  • Mimi_x3
Want to simplify it further?
pokemon23
  • pokemon23
yes please
pokemon23
  • pokemon23
how do you simplify it further?
anonymous
  • anonymous
what times what gives 24, 6*4 so 35(6)^(1/2)*(4)^(1/2) or \[35\sqrt{4}\sqrt{6}\]
pokemon23
  • pokemon23
can we simplify it further
anonymous
  • anonymous
now you can take the square root of 4 which is 2 therefore you are left with 35(2)(6)^(1/2)
anonymous
  • anonymous
which is just equal to \[70\sqrt{6}\]
pokemon23
  • pokemon23
so its |dw:1326160227547:dw|
pokemon23
  • pokemon23
how can we simplify it their?
anonymous
  • anonymous
you can't
anonymous
  • anonymous
if you take the square root of 2 you end up with an irrational number which can only be approximated
Mimi_x3
  • Mimi_x3
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
  • pokemon23
|dw:1326160630061:dw| to the solution
Mimi_x3
  • Mimi_x3
\[35*2\sqrt{6} \]
Mimi_x3
  • Mimi_x3
since \[\sqrt{4} = 2\]
pokemon23
  • pokemon23
how? how did you get the solution
Mimi_x3
  • Mimi_x3
Hmm...where don't you understand? It has been explained thoroughly.
anonymous
  • anonymous
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
anonymous
  • anonymous
Radicals are simply the opposite of exponents. If you had just say 3^(3) = (3)(3)(3) = 27 27^(1/3) =3
anonymous
  • anonymous
Thus (4)^(1/2) = 2 because 2*2 = 4
anonymous
  • anonymous
You need to memorize the fundamental rule in radicals that (ab)^(1/2) = \[\sqrt{a}\sqrt{b}\]
anonymous
  • anonymous
if you wish to simplify radicals further, usually I'm to lazy to do this though :d
Mimi_x3
  • Mimi_x3
You can simplify it further but you don't need to, it depends on the question.
anonymous
  • anonymous
In your case 35(24)^(1/2) = \[35\sqrt{6}\sqrt{4}\]
pokemon23
  • pokemon23
thanks for the help
anonymous
  • anonymous
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
  • pokemon23
you can reduce to 35|dw:1326161502375:dw|
anonymous
  • anonymous
No problem I hope you have gained a better understanding of radicals, I would recommend look up the fundamental rules of radicals
anonymous
  • anonymous
Once you know all the basic algebraic laws, math becomes a lot easier
anonymous
  • anonymous
the final answer being 70(6)^(1/2) but I will stop posting now :D

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