Persevere with Problems Amanda purchased a storage cube that has a volume of 4 cubic feet. She wants to put it on a bookshelf that is 12 inches tall. Will the cube fit? Explain.
Persevere with Problems Find two numbers that have square roots between 7 and 8. One number should have a square root closer to 7 and the other number should have a square root closer to 8. Justify your answer.
Construct an Argument If \(\text{x}^{4} = \text{y}\), then x is the fourth root of y. Explain how to estimate the fourth root of 30. Find the fourth root of 30 to the nearest whole number.
Reason Inductively Suppose x is a number between 1 and 10 and y is a number between 10 and 20. Determine whether the statement below is always, sometimes or never true. Explain your reasoning.