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:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

nope lol

step-by-step explanation: