(a) Calculate \(\sqrt{2.3+6.4^{2}}\), writing down your full calculator display.
(b) Write your answer to part (a) correct to 4 decimal places.
▶️ Answer/Explanation
(a) Ans: 6.583314
First, compute \(6.4^2 = 40.96\).
Add \(2.3\) to get \(2.3 + 40.96 = 43.26\).
Take the square root: \(\sqrt{43.26} \approx 6.583314\).
(b) Ans: 6.5833
Round the result to 4 decimal places: \(6.583314 \approx 6.5833\).
(a) Calculate \(\sqrt[3]{-4.3 \times 6.7^{2}}\) and write down all the figures shown on your calculator.
(b) Write your answer to part (a) correct to 4 decimal places.
▶️ Answer/Explanation
(a) Ans: \(-5.779266\)
First, compute \(6.7^2 = 44.89\).
Multiply by \(-4.3\) to get \(-4.3 \times 44.89 = -193.927\).
Take the cube root of \(-193.927\) to get \(\sqrt[3]{-193.927} \approx -5.779266\).
(b) Ans: \(-5.7793\)
Round \(-5.779266\) to 4 decimal places: \(-5.7793\).