Answer:
Step-by-step explanation:
To simplify :
, when 
In order to simplify the given expression we will take the square root of the term inside the root.
The term in the square root are perfect squares (square of an integer), so, we can write them in square of the numbers.
⇒ 
[As 
]
On taking square root the square gets removed. So, we have,
⇒ 
⇒
Since , so the value would be negative.
So, simplified answer is
(Answer)
Answer:
x = 10
y = 14
Step-by-step explanation:
Here, we want to get the values of x and y
Since all sides are equal, the internal angle is 60 degrees for each internal angle
Since AC = 14
Then y is also 14 since what we have is an equilateral triangle
Secondly ;
6x = 60
x = 60/6
x = 10
The 5 people can seat in a row in 5! ways
But we need to exclude the ways <span>that ann and bob are seated next to each other which is = 4! * 2!
</span>
So, the number of <span>ways can ann, bob, chuck, don and ed be seated in a row such that ann and bob are not seated next to each other = 5! - 4! * 2! = 72
</span>
<span>=====================================================
</span>
<span>Another solution:
</span>
<span>If ann seated in one of the ends, the number of ways = 3*2
</span>
<span>If ann didn't seat in one of the ends , the number of ways = 2*3
</span>
So, the total number of <span>ways that can <span>ann, bob be seated = 3*2 + 2*3 = 12
</span></span>
The remaining persons can seat with a number of ways = 3! = 6
So, the total ways that the five persons can seat = 12*6 = 72
