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In this lesson, we will learn how to use a calculator to approximate the nth root of a number and then use it to solve real-world problems.

Q1:

By considering square numbers, determine an approximation for β 8 3 to the nearest whole number.

Q2:

The radius π of a sphere is given by the formula π = οΌ 3 π 4 π ο 1 3 , where π is the sphereβs volume. Determine the difference in radius between a sphere with volume 7 7 7 6 π and a sphere with volume 1 8 4 3 2 π .

Q3:

Which of the integers below is the closest to 3 β β 3 5 3 ?

Q4:

What is the value of 1 6 β 5 + 1 8 3 ? Give your answer to the nearest tenth.

Q5:

Find the two consecutive one-decimal-place numbers that 3 β 7 3 lies between.

Q6:

Find the integer π₯ which satisfies the following equation π₯ < β β 5 7 < π₯ + 1 3 .

Q7:

If π₯ β β€ + , and π₯ < β 5 1 3 < π₯ + 1 3 , find the value of π₯ .

Q8:

Given that a whole number is squared and that the result is between 875 and 974, determine between which of the following is the whole number.

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 π of a certain circle is given by π = β 3 8 , estimate the radius of the circle to the nearest foot.

Q11:

Estimate 3 β 7 9 to the nearest whole number.

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