if i solve this problem vertically;
(1+ sqrt3)*(1+ sqrt3)
do i get 5+ 2sqrt3?
26=-5y + 6
I'd say 1 + 2sqrt(3) + 3 = 4 + 2sqrt(3)
To solve the expression (1 + sqrt(3)) * (1 + sqrt(3)) vertically, you can proceed as follows:
1. Multiply the terms in the first parentheses with the terms in the second parentheses vertically:
(1 * 1) + (1 * sqrt(3)) + (sqrt(3) * 1) + (sqrt(3) * sqrt(3))
2. Simplify each multiplication step:
1 + sqrt(3) + sqrt(3) + (sqrt(3) * sqrt(3))
3. Combine like terms:
1 + 2sqrt(3) + (sqrt(3))^2
(Note: sqrt(3) * sqrt(3) is equivalent to (sqrt(3))^2)
4. Simplify the remaining terms:
1 + 2sqrt(3) + 3
5. Combine like terms:
4 + 2sqrt(3)
Therefore, the result of solving the expression (1 + sqrt(3)) * (1 + sqrt(3)) vertically is 4 + 2sqrt(3), not 5 + 2sqrt(3).