3√12 = 3*√3*√2*√2
Because √2*√2 = 2, you can multiply that to the 3 on the outside: 6√3
5√27 = 5*√3*√3*√3
Because √3*√3 = 3, you can multiply that to the 5 on the outside: 15√3
So you have 6√3-15√3. But you're not done yet. Since the √3 terms as the same you need to keep that and reduce the numeric values on the outside: (6-15)√3
Answer: -9√3
Because √2*√2 = 2, you can multiply that to the 3 on the outside: 6√3
5√27 = 5*√3*√3*√3
Because √3*√3 = 3, you can multiply that to the 5 on the outside: 15√3
So you have 6√3-15√3. But you're not done yet. Since the √3 terms as the same you need to keep that and reduce the numeric values on the outside: (6-15)√3
Answer: -9√3
Hope this helps!
