## anonymous one year ago Multiply: 2 the square root of 11 8 the square root of 22 a. 8 the square root of 11 b. 10 the square root of 33 c. 64 the square root of 22 d. 176 the square root of 2

1. Jack1

$$\large 2\sqrt 11 \times 8\sqrt 22$$?

2. anonymous

Yeah

3. anonymous

I get to the point were it becomes 16 (sqrt) 242 then I dont know what to do

4. Jack1

sqrt 11 * sqrt 22 = sqrt 11 * sqrt 11 * sqrt 2 = (sqrt 11)^2 * sqrt 2 = 11 * sqrt 2

5. Jack1

so now add in the x 2 and x 8

6. Jack1

11 * 2 * 8 * sqrt 2 = 176 * sqrt 2

7. anonymous

How did you get the sqrt 11 * sqrt 22

8. Jack1

$$\Large 2\times \sqrt {11} \times 8 \times \sqrt {22}$$ $$\Large 2\times 8 \times \sqrt {11} \times \sqrt {22}$$ $$\Large 2\times 8 \times \sqrt {11} \times \sqrt {(2 \times 11)}$$ $$\Large 2\times 8 \times \sqrt {11} \times \sqrt {2} \times \sqrt {11}$$ $$\Large 2\times 8 \times \sqrt {11} \times \sqrt {11} \times \sqrt {2}$$ $$\Large 2\times 8 \times 11 \times \sqrt {2}$$

9. anonymous

Oh so you were just simplifying the equation?

10. Jack1

yeps ;)

11. anonymous

so that would be 176 (sqrt) 2

12. Jack1

perfect

13. anonymous

Thank you so much! It make so much more sense now

14. Jack1

all good, np ;)