Answer: 2√2 - 3Explanation:The expession written properly is:

To rationalize that kind of expressions, this is to eliminate the radicals on the denominator you use conjugate rationalization.
That is, you have to multiply both numerator and denominator times the conjugate of the denominator.
The conjugate of √3+√6 is √3 - √6, so let's do it:

To help you with the solution of that expression, I will show each part.
1) Numerator: (√3 - √6) . (√3 - √6) = (√3 - √6)^2 = (√3)^2 - 2√3√6 + (√6)^2 =
= 3 - 2√18 + 6 = 9 - 6√2.
2) Denominator: (√3 + √6).(√3 - √6) = (√3)^2 - (√6)^2 = 3 - 6 = - 3
3) Then the resulting expression is:
9 - 6√2
-----------
-3
Which can be further simplified, dividing by - 3
-3 + 2√2
Answer: 2√2 - 3
Answer:
X = 9 or x = -9
Step-by-step explanation:
We want to solve the quadratic equation

We shall use the square root method
Let us add 4 to both sides to get:


We take square to get:


The solution is x=9 or -9
The area of the shaded region is 
<h2>Area of composite objects</h2>
The area of the shaded region is expressed according to the formula:
Get the area of the square As
As = a²

Take the difference in the areas
Area of the shaded part = 
Area of the shaded part = 
Hence the area of the shaded region is 
Learn more on area of composite objects here: brainly.com/question/22716761
Answer:
12x+4=0
Step-by-step explanation:
just translate what is written and don't forget to write (=0)