## Solmyr 2 years ago Simplify: sqrt c (3 + 2sqrt 5) 5 sqrt 5c C sqrt 3 + c sqrt 10 3 sqrt c + 2 sqrt 5c 3 sqrt c + 2c sqrt 5

1. ajprincess

Use distributive property a(b+c)+ab+ac Here a=sqrtc b=3 c=2sqrt5 Does that help? @Solmyr

2. Solmyr

3. Solmyr

Sqrt c(3 + 2 sqrt 5) + sqrt c(3) + sqrt c(2 sqrt 5)

4. phi

it is best to put the numbers in front of the sq rt sign, it's less confusing Sqrt c(3 + 2 sqrt 5) = 3sqrt c + 2 sqrt c sqrt 5 you should know that $\sqrt{a} \cdot \sqrt{b} = \sqrt{a\cdot b}$ That rule means you can combine sqrt(c)*sqrt(5)

5. Solmyr

ok

6. Solmyr

i was thinking that the answer was A and still thinking because of what u showed

7. Solmyr

ok

8. phi

I thought A was B. But A is not correct. the answer is 3sqrt c + 2 sqrt c sqrt 5 or a simplified version of this

9. Solmyr

ok so D??

10. phi

rewrite $3\sqrt c + 2 \sqrt c \sqrt 5$ by putting the c and 5 inside the same sqrt

11. Solmyr

ok

12. Solmyr

do you have time to help me with two more?

13. phi

first, did you finish this one? put the c and 5 inside the same sqrt $3\sqrt c + 2 \sqrt c \sqrt 5$

14. phi

you can do that only for the 2nd term.

15. Solmyr

3 sqrt c + 2 sqrt 5c

16. phi

ok, that should match one of your choices

17. Solmyr

C

18. phi

so to do this, you distributed and then you combined two sq rt's

19. phi