Question

5.Simplify each of the following: (i) 7sqrt(2)+5sqrt(8) (ii) 15sqrt(6)-sqrt(216) (iii) 8sqrt(45)-8sqrt(20)+sqrt(245)-3sqrt(125)​

Answer 1

Answer:

(i)   17$\sqrt{2}$

(ii)  9$\sqrt{6}$

(iii)  0

Step-by-step explanation:

(i)  7$\sqrt{2}$ + 5$\sqrt{2}$$\sqrt{4}$ =  7$\sqrt{2}$ +  10$\sqrt{2}$ =  17$\sqrt{2}$

(ii)  15$\sqrt{6}$ - $\sqrt{216}$ =  15$\sqrt{6}$ - $\sqrt{36}$·$\sqrt{6}$ = 9$\sqrt{6}$

(iii)  8$\sqrt{45}$  - 8 $\sqrt{20}$ + $\sqrt{245}$ - 3$\sqrt{125}$ = 8$\sqrt{9}$·$\sqrt{5}$ - 8$\sqrt{4}$·$\sqrt{5}$ + $\sqrt{49}$·$\sqrt{5}$ - 3$\sqrt{25}$·$\sqrt{5}$ =

24$\sqrt{5}$ - 16$\sqrt{5}$ + 7$\sqrt{5}$ - 15$\sqrt{5}$  = 8$\sqrt{5}$ - 8$\sqrt{5}$  = 0