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#### Monoxdifly

##### Well-known member

- Aug 6, 2015

- 267

a. \(\displaystyle \left(1+2\sqrt2\right)9\sqrt2\)

b. \(\displaystyle \left(1+2\sqrt2\right)9\sqrt3\)

c. \(\displaystyle \left(1+2\sqrt2\right)18\sqrt3\)

d. \(\displaystyle \left(1+2\sqrt2\right)27\sqrt2\)

e. \(\displaystyle \left(1+2\sqrt2\right)27\sqrt3\)

I got stuck at \(\displaystyle \frac{56-3^2\left(3^{\frac52}\right)}{2^-{\frac43}-2^{-2}}\) and don't know how to continue to reach one of the options. By the way, don't you think that 7 is suspicious?