When we add or multiply real numbers, we can justify the results by combining the bounds from the

inputs to obtain bounds for the outputs. Consider the estimate for √2 and 7 given by 7/5 ≤ √2 ≤ 3/2 and 3/1 ≤ π ≤ 22/7.

(a) Use the estimates to find lower and upper bounds for √√2 + π.

(b) Use the estimates to find lower and upper bounds for √2 x π.