In this worksheet, we will practice using a calculator to approximate the nth root of a number and then using it to solve real-world problems.

**Q2: **

The radius of a sphere is given by the formula , where is the sphereβs volume. Determine the difference in radius between a sphere with volume and a sphere with volume .

**Q3: **

Which of the integers below is the closest to ?

- A
- B
- C
- D

**Q4: **

What is the value of ? Give your answer to the nearest tenth.

**Q5: **

Find the two consecutive one-decimal-place numbers that lies between.

- A4.2, 4.3
- B4.0, 4.1
- C4.3, 4.4
- D4.1, 4.2
- E3.9, 4.0

**Q6: **

Find the integer which satisfies the following equation .

**Q7: **

If , and , find the value of .

- A9
- B7
- C8

**Q9: **

Nabil wants to buy fencing to enclose a square garden with an area of 380 ft^{2}. How much fencing does he need to buy? Round your answer to the nearest tenth.

**Q10: **

Given that the radius of a certain circle is given by , estimate the radius of the circle to the nearest foot.

**Q11: **

Estimate to the nearest whole number.