1. simplify the expression sqrt(4x^2/3y) show your work
2. simplify the expression (3-4i)(1+-i) show your work
3. the formula c=sqrt(a^2 + b^2) represents the length of the hypotenuse of a right triangle with side lengths a and b. solve the equation for b. show your work.

1. in this exercise, we need to simplify the expression:

the square root of a division equals the division of the square root sof the factors, thus:

and the square root of a product equals the product of the square roots of the factors as well, therefore:

2. we need to simplify the expression:

by applying distributive property we have:

3. for a right triangle we have:

squaring each side of the equation:

we have:

the answer is c

hope this !

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this