HELP!!! I don't understand...?

Question

try and show step by step work

sqrt50/sqrt2

4/sqrt5

sqrt2/sqrt10

4sqrtx^12/24sqrtx^2

15sqrt8x^16/5sqrt2x^4

(3sqrt5)(2sqrt10)

(2sqrtx)(5sqrtx^3)

Answer 1

1. sqrt50/sqrt2

= sqrt(25*2)/ sqrt2

= (sqrt25*sqrt2)/sqrt2

= sqrt25  [The sqrt2 cancel each other]

= 5

Answer 2

*basic things*

1. sqrt x^2 = x

2. (sqrt x)(sqrt y) = sqrt xy

3. (a sqrt x)( b sqrt y ) = ab sqrt xy

1. sqrt50/sqrt2

　= sqrt (5^2)(2) / sqrt 2

　= 5 sqrt 2 / sqrt 2

　= 5

2. 4 / sqrt 5

　(4) (sqrt5) / (sqrt5) (sqrt5)　　

　= 4 sqrt 5 / 5

　= 4/5 sqrt 5

3. sqrt2/sqrt10

　= (sqrt2)(sqrt10) /(sqrt10)(sqrt10)

　= sqrt20 /10

　= sqrt (2^2)(5) / 10

　= 2 sqrt 5 /10

　= 1/5 sqrt 5

4. 4 sqrt x^12 / 24 sqrt x^2

　= 4 sqrt (x^6)^2 / 24 sqrt (x)^2

　= 4x^6 / 24x

　=(1/6)x^5

5. 15 sqrt 8x^16 / 5 sqrt 2x^4

　= 30 x^8 sqrt 2 / 5x^2 sqrt 2

　=30x^8 / 5x^2

　= 6 x^6

6. (3sqrt5)(2sqrt10)

　= 6 sqrt 50

　= 30 sqrt2

7. (2sqrtx)(5sqrtx^3)

　= 10 sqrt x^4

　= 10 x^2