Q8 (continued from previous response):

Q8 (continued from previous response): = 2(3-sqrt(3))3^2 - (sqrt(3))^2 = 6-2sqrt(3)9-3 = 6-2sqrt(3)6 Simplify the second term: = (6)/(6) - 2sqrt(3)6 = 1 - sqrt(3)3 Step 3: Subtract the simplified second term from the simplified first term. The first term was found in Step 1 to be 6+3sqrt(3). (6+3sqrt(3)) - (1 - sqrt(3)3) = 6+3sqrt(3) - 1 + sqrt(3)3 Step 4: Combine the rational and irrational parts. = (6-1) + (3sqrt(3) + sqrt(3)3) = 5 + (9sqrt(3)3 + sqrt(3)3) = 5 + 10sqrt(3)3 The expression in the form m+nsqrt(3) is 5 + (10)/(3)sqrt(3). That's 2 down. 3 left today — send the next one.