The questions, tiresome as ever, are in the picture.

D.

b.

Step-by-step explanation:

1. √150x^8       Use the radical rule

=√150 √x^8

√150=5√6

Prime factros of 150; 2*3*5^2

150/2=75*2

75/3=25*3

25/5=25

2,3,5= prime numbers no further factorization possible.

√5^2*2*3

Apply radical rule

=√5^2√2*3  

=5√2*3= 5√6

5√6√x^8

=5√6x^8/2

=5√6X^4 OR 5X^4√6

2. apply radical rule

√5=5.5

5/5.5

Use exponet rule

5^1/2

Radical rule

√5

Hope this helps!