Solving Radical Equations

Solve and check your solution(s)

$$\sqrt[]{2x-3}=4$$  

Solve and check your solution(s)

$$\sqrt[3]{x-9}=3$$  

Solve and check your solution(s)

$$-8\sqrt[]{x-5}=-16$$  

Solve and check your solution(s)

$$\sqrt[]{2x-6}=\sqrt[]{5x-15}$$  

Solve and check your solution(s).

$$\sqrt[]{10-13x}=x-4$$  

Solve and check your solution(s)

$$-8+\sqrt[]{5x-5}=-3$$  

A pendulum can be measured with the equation

$$T=2\pi\sqrt[]{\frac{L}{G}}$$  

where T is the time in seconds, G is the force in gravity (9.8 meters per second squared) and L is the length of the pendulum.

Find the period T (to the nearest hundredth of a second) if a pendulum is 1.9 m long.

(a)  

A pendulum can be measured with the equation

$$T=2\pi\sqrt[]{\frac{L}{G}}$$  

where T is the time in seconds, G is the force in gravity (9.8 meters per second squared) and L is the length of the pendulum.

How long (to the nearest hundredth of a meter) would the pendulum be if the period was exactly 2 seconds?

(a)  

The difference between an integer and its square root is 12. What is the integer?

If a plane flies at 50,000 ft, how far away can you see from the window?

Round to the nearest hundredth

Use the formula below.

$$d\left(h\right)=\sqrt[]{2h}$$  

(a)