Question

which equation is a radical equation?
\\(\sqrt{10} + h = 5 + 2h\\)
\\(3d = \sqrt{d + 5}\\)
\\(\sqrt3{8} + d^2 = d\sqrt{16}\\)

Explanation:

Step1: Define radical equation

A radical equation has a variable under a radical.

Step2: Analyze first equation

$\sqrt{10}+h=5+2h$: $\sqrt{10}$ is constant, no variable under radical.

Step3: Analyze second equation

$3d=\sqrt{d+5}$: Variable $d$ is under the square root.

Step4: Analyze third equation

$\sqrt[3]{8}+d^2=d\sqrt{16}$: $\sqrt[3]{8}=2$, $\sqrt{16}=4$, no variable under radical.

Answer:

$3d = \sqrt{d+5}$