Free SAT Practice Question

Question 1 of 1
ID: DSAT-MATH-AM-020
Section: Digital SAT Math - Advanced Math
Topics: Nonlinear functions; MCQ
Difficulty level: Hard

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\(p\left( 1 + r^{2} \right)^{3} = q\)

Which choice gives the correct relation of \(r\) in terms of \(p\) and \(q\) ?
A\(r = \left\{ \left( \frac{p}{q} \right)^{\frac{1}{3}} - 1 \right\}^{\frac{1}{2}}\)
B\(r = \left\{ \left( \frac{p}{q} \right)^{\frac{1}{2}} - 1 \right\}^{\frac{1}{3}}\)
C\(r = \left\{ \left( \frac{q}{p} \right)^{\frac{1}{3}} - 1 \right\}^{\frac{1}{2}}\)
D\(r = \left\{ \left( \frac{q}{p} \right)^{\frac{1}{2}} - 1 \right\}^{\frac{1}{3}}\)
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