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Rationalizing Simple Denominators
Grade Level
ACT Prep
ACTM.058 Rationalizing Simple Denominators
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Assume \(z>0\) and \(z\ne 49\). Which option gives the rationalized-denominator form of \(\frac{7}{7+\sqrt{z}}\)?
A
\(\frac{7}{7-\sqrt{z}}\)
B
\(\frac{7(7-\sqrt{z})}{49-z}\)
C
\(\frac{7(7-\sqrt{z})}{49+z}\)
D
\(\frac{7(7+\sqrt{z})}{49-z}\)
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