Question

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?

Answer 1

This would really be

(5SQRT20)(8SQRT45)
ROunded

(22.4) (53.7)
IM not sure if you have to mulitply these, but if you do.....this would be youe answers

1202.88

Hope this helps.

Answer 2

I am talking about Radicals, not actaully calculating the square roots.

My book says that the answer is
195 + 47*{5

I just don't get how they got that answer.

Answer 3

(3+2√20)(5+3√45)
multiply it using FOIL

= 15 + 9√45 + 10√20 + 6√900
= 15 + 27√5 + 20√5 + 180
= 195 + 47√5

for the second, just multiply the two expression, and again use FOIL
(x-5)(2x-6)
= .....

For the third part, look at x-5
isn't that positive for all values of x > 5 ???
what about the 2x-6 ??

Answer 4

spce./ the diameter of mars is about 9.4 kilometers. write 9.4 as a product. then find the value of the product.