## Solmyr Group Title 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 one year ago one year ago

1. ajprincess Group Title

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

2. Solmyr Group Title

3. Solmyr Group Title

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

4. phi Group Title

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 Group Title

ok

6. Solmyr Group Title

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

7. Solmyr Group Title

ok

8. phi Group Title

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 Group Title

ok so D??

10. phi Group Title

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

11. Solmyr Group Title

ok

12. Solmyr Group Title

do you have time to help me with two more?

13. phi Group Title

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 Group Title

you can do that only for the 2nd term.

15. Solmyr Group Title

3 sqrt c + 2 sqrt 5c

16. phi Group Title

ok, that should match one of your choices

17. Solmyr Group Title

C

18. phi Group Title

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

19. phi Group Title