anonymous
  • anonymous
rationalize the denominator of √-16 _________ (1+i)+(6+3i)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
-16 can be written as the product of 16 and -1, right? so what's the sqrt of 16 and the sqrt of -1?
anonymous
  • anonymous
i haven't any idea
anonymous
  • anonymous
|dw:1337100713360:dw|

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anonymous
  • anonymous
ok, sqrt of 16, what multiplied with itself gives 16?
anonymous
  • anonymous
4
anonymous
  • anonymous
ok, what about -1?
anonymous
  • anonymous
im not sure about the -1
anonymous
  • anonymous
there isnt an answer for that... right?
anonymous
  • anonymous
|dw:1337100894030:dw|
anonymous
  • anonymous
ok, I'll give you that one, because it's a bit tricky, it's actually i. i * i = -1
anonymous
  • anonymous
i times i. got it.
anonymous
  • anonymous
ok, perfect, so sqrt of -16 = sqrt 16 * sqrt -1 = 4 * i
anonymous
  • anonymous
but its negative 16 under the square root....
anonymous
  • anonymous
and none of that is one of my choices
anonymous
  • anonymous
all of my choices look like fractions
anonymous
  • anonymous
Yup, and it's still works because of this : \[\sqrt{xy} = \sqrt{x} * \sqrt{y}\] right, so once you solve the the denominator, go back to hashsam1's solution
anonymous
  • anonymous
|dw:1337101077852:dw|
anonymous
  • anonymous
so it would be
anonymous
  • anonymous
|dw:1337101138650:dw|
anonymous
  • anonymous
thank you so much for all of your help!
anonymous
  • anonymous
is this the answer?
anonymous
  • anonymous
in your choices?
anonymous
  • anonymous
its 16 + 28i over 65
anonymous
  • anonymous
perfect
anonymous
  • anonymous
|dw:1337101312782:dw|
anonymous
  • anonymous
yay!
anonymous
  • anonymous
|dw:1337101388901:dw|

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