Need Help Solving 2 QUESTIONS

Question

1. The equation d = (1.35h)^1/2 represents the distance d (in miles) you can see out into the horizon, where h is the height (in feet) of your eyes above ground level. Determine how tall a person is if he or she can see 2.75 miles out into the horizon. Round your answer to the nearest hundredth.
2. Solve the inequality 6(x - 2)^1/2 + 4 <= 28 and the equation 6(x - 2)^1/2 + 4 = 28. Describe a similarity and a difference between solving radical equations and inequalities.

Answer 1

1) You're just solving for h, when d = 2.75. For reference, raising a term to the 1/2 power is taking the square root of that term; √ = ^1/2

2.75 = √(1.35h) -> square both sides to undo the root.

2.75^2 = √(1.35h)^2 --> root and square cancel

7.5625 = 1.35h --> divide both sides by 1.35

7.5625/1.35 = h ≈ 5.6 feet