Algebra math questions!?

Question

I need help with these math questions. I would like the answer and a quick explanation. okay, there are a few, but the first person to answer these correctly gets best answer.

Simplify these expressions
1. the square root of 75/225
2. the square root of 21 v squared/324
3. the square root of 94t/196
4. " " " of 171cd squared
5. " " " of 152 m squared n
6. " " " of 126x squared y squared
7. " " " of 23w squared/49
8." " " of 45rt squared/144
9. " " " of 76p squared q squared/81
10. " " " of 320/441
11. " " " of 117f
REMEMBER: PLEASE ONLY SIMPLIFY THESE EXPRESSIONS.
I DONT NEED AN EXPLANATION FOR EACH ONE, I JUST NEED ONE EXPLANATION, AND ANSWERS.

Thank you very much for helping. :)

Answer 1

1. sqrt(3*25)/sqrt(225) = (5/15) sqrt(3) = sqrt(3)/3
2. sqrt(21v^2)/sqrt(324)= (v/18)sqrt(21
3. Sqrt(16*6)/sqrt(196)= 4sqrt(6)/14 = 2sqrt(6)/7
4. sqrt(9*19c d^2) = 3d sqrt(19c)
5. sqrt(4*38m^2n) = 2m sqrt(38n)
6. sqrt(9*14x^2y^2) = 3xy sqrt(14)
7. sqrt(21w^2/49) = (w/7) sqrt(21)
8. sqrt(9*5rt^2/144)=(3t/12) sqrt(5r) = (t/4)sqrt(5r)
9. Sqrt(4*19p^2q^2/144) = (2pq/12)sqrt(19)=pq/6 sqrt(19)
10. sqrt(64*5/441) = (8/21) sqrt(5)
11. sqrt(9*13f = 3sqrt(13f)