Radical Equations and Their Solutions

What defines a radical equation?

• An equation with a variable in the exponent.

• An equation that contains a radical expression with a variable in the radicand.

• An equation that contains only integers.

• An equation with no variables.

What is the value of x in the equation sqrt(x) + 5 = 13?

• 8

• 18

• 64

• 16

solve: 3-sqrt(x)=0

4sqrt(x+2)+3=19

What is the value of x in the equation cube_root(5x - 2) = 12?

• 346

• 1730

• 1728

• 12

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What is the valid solution for the equation x = "sqrt(x + 6)"?

• x = 3

• x = -2

• x = 3 or x = -2

• No solution

What is the solution for the equation 13 + "sqrt(5n)" = 3?

• n = 20

• n = -20

• n = 10

• No solution

The period P (in seconds of a pendulum is given by the function P=2πsqrt(L/32), where L is the pendulum length (in feet). If the period is doubled, how would that affect the length of the pendulum?