Please help! If we write in the form , such that , , and are positive integers and is as small as possible, then what is ?

Step-by-step explanation:

Let’s first simplify our expression. We have:

For the second term, multiply both the numerator and denominator by √2. This yields:

Similarly, for the fourth term, multiply both the numerator and denominator by √3. This yields:

Hence, our expression is now:

Let’s combine them. First, we will need common denominators.

Our denominators are 2 and 3. So, our common denominator will be its LCM.

The LCM of 2 and 3 is 6.

Hence, let’s make each term’s denominator 6.

For the first term, we can multiply both layers by 6. Hence:

For the second term, we can multiply both layers by 3. Hence:

For the third term, we can multiply both layers by 6. Hence:

And for the last term, we can multiply both layers by 2. Hence:

So, our expression is:

Add:

Combine like terms:

This cannot be simplified. So, c is as small as possible.

Hence: a=9, b=8, and c=6.

Therefore:

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.