Question 174
The number $\sqrt{49+6 \sqrt{6}+12 \sqrt{14}+4 \sqrt{21}}$ can be expressed as $a \sqrt{2}+b \sqrt{3}+c \sqrt{7}$ for some integers $a, b, c$. Find $a+b+c$.
MathNet 2018-part-03 — 181 problems (EN–VI) Question 174
Math Olympiad Vault · MathNet 2018-part-03 — 181 problems (EN–VI)