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Find each product.

{ this means the square root sign.

1. (3+2{20)(5+3{45)

2. The length and width of the rectangle are x-5 and 2x-6

a. Write a trinomial that represents that area of the rectangle.

b. What is the smallest integer value of x that will give positive values for the length and the width of the rectangle?

http://www.jiskha.com/display.cgi?id=1232413142

1. (3+2sqrt 20 )(5+3sqrt 45) ???
use FOIL
15 + 9 sqrt(900) + 10 sqrt(900) + 900
but sqrt 900 = 30
so 15 + 19*30 + 900

2. The length and width of the rectangle are x-5 and 2x-6

a. Write a trinomial that represents that area of the rectangle.
(x-5)(2x-6) = 2 x^2 -16 x + 30

b. What is the smallest integer value of x that will give positive values for the length and the width of the rectangle?
If x is <5, length is negative
if x < 3, width is negative
so 3

• Whoops, messed up first one, FOILed again -

I multiplied wrong, when I foiled.

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