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3 years ago

Column A Column B

1 answer:

3 0

1) (-22 + 17) + 13 = -22 + (17+13)
  - 5 + 13 = -22 + 30
8 = 8

2) -[27+(-3)] = -27+3
  -24 = -24

3) 35 + (-15+4) = [5+(-15)] + 4
35 + (-11) = 20 + 4
24 = 24

4) -12 + 6 = 6 + (-12)
  - 6 = - 6

Answer: C

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Answer:

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How do you simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%2B%5Csqrt%7B6%7D%20%7D%7B%5Csqrt%7B8%7D%20%2B%

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$a^2-b^2=(a-b)(a+b)$

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Whatever you do to the denominator, you have to do to the numerator too. So

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Expand the numerator:

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$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{16}+\sqrt{48}-\sqrt{12}-6$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=4+\sqrt{48}-\sqrt{12}-6$

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So we have

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+\sqrt{12}}2$

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