Question

5 root 12 + 4 root 12 - 3 root 18 +2root 75​

Answer 1

Answer: 28$\sqrt{3}$ - 9$\sqrt{2}$

Step-by-step explanation:

5$\sqrt{12}$ + 4$\sqrt{12}$ - 3$\sqrt{18}$ + 2$\sqrt{75}$

5$\sqrt{12}$ + 4$\sqrt{12}$ can be added together since they have the same radical, they will be treated as if you have 5 apples + 4 apples , which will be 9 apples

Therefore we have

9$\sqrt{12}$ - 3$\sqrt{18}$ + 2$\sqrt{75}$

$\sqrt{12}$ = $\sqrt{4}$ X $\sqrt{3}$ = 2$\sqrt{3}$

$\sqrt{18}$ = $\sqrt{9}$ X $\sqrt{2}$ = 3$\sqrt{2}$

$\sqrt{75}$ = $\sqrt{25}$ X $\sqrt{3}$ = 5$\sqrt{3}$

Returning them back into the expression , we have

9(2$\sqrt{3}$) - 3(3$\sqrt{2}$) + 2 (5$\sqrt{3}$)

⇒ 18$\sqrt{3}$ - 9$\sqrt{2}$ + 10$\sqrt{3}$

= 28$\sqrt{3}$ - 9$\sqrt{2}$