Answer: 
Step-by-step explanation:
Given the following expression shown in the picture:

You need to use a process called "Ratinalization".
By definition, using Rationalization you can rewrite the expression in its simplest form so there is not Radicals in its denominator.
Then, in order to simplify the expression, you can follow the following steps:
<em>Step 1</em>. You need to multiply the numerator and the denominator of the fraction by
, which is the conjugate of the denominator
.
<em>Step 2</em>. Then you must apply the Distributive property in the numerator.
<em>Step 3</em>. You must apply the following property in the denominator:
Therefore, applying the procedure shown above, you get:

<em>Step 4</em>. You can observe that the expression can be simplified even more. Since:

You get:

Step-by-step explanation:
The horse eats 9/12 in 9 days.
Answer:
The answer to your question is a = 16
Step-by-step explanation:
Polynomial
(y - 4) (y² + 4y + 16)
Process
1.- Multiply y by each term of the polynomial
y(y² + 4y + 16) = y³ + 4y² + 16y
2.- Multiply -4 by each term of the polynomial
-4(y² + 4y + 16) = -4y² - 16y - 64
3.- Write both results
y³ + 4y² + 16y - 4y² - 16y - 64
In bold we notice that a = 16
Answer: G does not show the relationship
Step-by-step explanation:
x is the number of months and he originally had 25 coins. The correct representation of this equation would be y=8x+25 since he adds 8 coins every month. So, G does not show the relationship.
Answer:
60 feet
Step-by-step explanation:
We know that a triangle has 3 sides, in this case we will call them a, b and c.
It tells us that everything is material, it measures 20, that is:
a + b + c = 20
They tell us that she wants to triple each side and to know how much material she would need in total. Then it would be:
border material need = 3 * a + 3 * b + 3 * c
common factor 3:
border material need = 3 * (a + b + c)
border material need = 3 * 20
border material need = 60
Which means that she needs a total of 60 feet of material.