Can someone please check my answers for me and help me with one problem? Screenshots included and medal!

Question

anonymous · Answer

attachment

anonymous · Answer

root of 75 + root of 3 = 6 root 3

anonymous · Answer

the last one is root of 21 + 7 root 2

anonymous · Answer

the first one i think is 3n^2 root 5n

anonymous · Answer

wait let me give you my answers

anonymous · Answer

5.) √45n^2
3√5 √n^5
3n^2  √5n

6.) √75 + √3
√25 * 3 + √3
5√3 + √3 
= 6√3

anonymous · Answer

both correct

anonymous · Answer

Thank you I just cant do the third one

anonymous · Answer

distribute first

anonymous · Answer

like factor?

anonymous · Answer

Can you show me a step by step on how to solve this

anonymous · Answer

$$\sqrt{7}(\sqrt{14}+\sqrt{3}) = \sqrt{21}+7\sqrt{2}$$

anonymous · Answer

i dont know the steps i asked science

anonymous · Answer

7.) √7(√14+√3)
√7(√2*7 + √3)
√7 (√2√7+√3)

anonymous · Answer

go on

anonymous · Answer

idk how to do it from there @Dwayne_Johnson

anonymous · Answer

@calculusxy

zzr0ck3r · Answer

$$\sqrt{7}(\sqrt{14}+\sqrt{3})=\sqrt{7}\sqrt{14}+\sqrt{7}\sqrt{3}=\sqrt{7}\sqrt{7*2}+\sqrt{7}\sqrt{3}=\sqrt{7}\sqrt{7}\sqrt{2}+\sqrt{7}\sqrt{3}\=7\sqrt{2}+\sqrt{7}\sqrt{3}=7\sqrt{2}+\sqrt{21}$$

anonymous · Answer

thank you so much :)