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Algebra

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Rationalizing Binomial Denominators X

ALGEBR-B2DAYE

Write the expression without a radical in the denominator. In other words, rationalize the denominator:

$$\frac{-\sqrt{2}}{\sqrt{2}+7}$$

A

$\cfrac{-2+7\sqrt{2}}{51}$

B

$\cfrac{-2+7\sqrt{2}}{-47}$

C

$\cfrac{-4-7\sqrt{2}}{-45}$

D

$\sqrt{2}-7$