Suppose p = √3 + √7, q = √8 + √2 and r = 2√3 + 2. Which of the following is true?

Question

Accepted Answer

1. Compute $p$: $p=\sqrt{3}+\sqrt{7}\approx1.732+2.646=4.378$.  
2. Compute $q$: $q=\sqrt{8}+\sqrt{2}=2\sqrt{2}+\sqrt{2}=3\sqrt{2}\approx3	imes1.414=4.243$.  
3. Compute $r$: $r=2\sqrt{3}+2\approx2	imes1.732+2=5.464$.  
4. Compare: $q\approx4.243 < p\approx4.378 < r\approx5.464$. So **(c)** is correct.  
FINAL_ANSWER: c

Answer

Answer

Answer