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$3.00 simplify please

  • From Mathematics: Algebra
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  • Due on May. 24, 2010
  • Asked on May 24, 2010 at 8:06:55PM
Asked by :
yeltang1
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Q:

Do multiplication and simplify the answer.  Please show work I am having a lot  of trouble.

1. square root of 15(7 square root 3+4 square root 5)

2. (4-square root 3)(11-square root 3)

3. (square root 15-4square root 5)(2 square root 15+square root 5)

simplify by first rationalizing the denominator.

4. 26/square root 10 +3

5. 30/6-square root 26

 

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  • Posted on May 24, 2010 at 9:15:51PM
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palsam
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A:
Preview: ... ions to all y ...

The full tutorial is about 11 words long plus attachments.

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  • Posted on May 24, 2010 at 10:13:57PM
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zadocksmath
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A:
Preview: ... aginary Number, not a realnumber ),  then Sqrt(A)xSqrt(B) = Sqrt(AxB).  SO... Sqrt(15)[7Sqrt(3) + 4Sqrt(5)] = 7Sqrt(45) + 4Sqrt(75). We now factor 45 and 75 into two factors in such away that one of the factors is a perfect square and the other is not. So 45 can be expressed as 45 = (9)(5) where 9, is a perfect square, since 9 = 3 2 and 5 is not. Similarly 75 = (25)(3), where 25 is a perfect square, since 25 = 5 2 and 3 is not, so ......Sqrt(45) = Sqrt[(9)(5)] = Sqrt(9)Sqrt(5) = 3Sqrt(5). Similarly,..... Sqrt(75) = Sqrt[(25)(3)] = Sqrt(25)Sqrt(3) = 5Sqrt(3). So ......Sqrt(15)[7Sqrt(3) ...

The full tutorial is about 475 words long .