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

Mathematics
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1 Attachment
root of 75 + root of 3 = 6 root 3
the last one is root of 21 + 7 root 2

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the first one i think is 3n^2 root 5n
wait let me give you my answers
5.) √45n^2 3√5 √n^5 3n^2 √5n 6.) √75 + √3 √25 * 3 + √3 5√3 + √3 = 6√3
both correct
Thank you I just cant do the third one
distribute first
like factor?
Can you show me a step by step on how to solve this
\[\sqrt{7}(\sqrt{14}+\sqrt{3}) = \sqrt{21}+7\sqrt{2}\]
i dont know the steps i asked science
7.) √7(√14+√3) √7(√2*7 + √3) √7 (√2√7+√3)
go on
idk how to do it from there @Dwayne_Johnson
\[\sqrt{7}(\sqrt{14}+\sqrt{3})=\sqrt{7}\sqrt{14}+\sqrt{7}\sqrt{3}=\sqrt{7}\sqrt{7*2}+\sqrt{7}\sqrt{3}=\sqrt{7}\sqrt{7}\sqrt{2}+\sqrt{7}\sqrt{3}\\=7\sqrt{2}+\sqrt{7}\sqrt{3}=7\sqrt{2}+\sqrt{21}\]
thank you so much :)

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