Can you please help me with these square roots?

Question

1: sqrt 100 a^4 b^2 c^2

2: (sqrt x- sqrt y)^2

3: 12 sqrt 15-9 sqrt 75+8 sqrt 45-6 sqrt 225

4: sqrt x^5/y^2

5: sqrt 24/16

Answer 1

1.) 10(a^2)bc

2.)Think it is in most reduced form. (Grampedo is INCORRECT)

3.)  540 sqrt (2158)= 25085.31044

4.) (X^2.5) / (Y)

5.)  (sqrt 6)/2

Answer 2

rt(100a^4b^2c^2

=10a^2bc

[rt(x)-rt(y)]^2

=x-y

12rt(15)-9rt(75)+8rt(45)-6rt(225)

=12rt(15)-45rt(3)+24rt(5)-90

=12rt(15)+24rt(5)-45rt(3)-90

=12rt(5)[rt(3)+2]-45[rt(3)+2]

= [rt(3+2][12rt(5)-45]

rtx^5/y^2

=x^2(rt(x))/y

rt24/16

=2rt(6)/4

=rt(6)/2