Answer:
6 √2 -4 √3
Step-by-step explanation:
Here, we want to rationalize the denominator of the following surdic fraction;
2√6/(√2 + √3)
To rationalize this, we have to multiply the numerator and the denominator by the conjugate of the denominator
The conjugate of the denominator is √2 - √3
So, we have the rationalization as follows;
2 √6(√2-√3)/(√2 + √3)(√2-√3)
Thus, we have
(4√3-6 √2)/(-1)
= 6 √2 -4 √3
Answer: 82
Step-by-step explanation:
H=9(-3)^2+1
Simplify both sides of the equation.
h=81+1
81+1 =82
h=82
Using conversion of units and volume of a cylinder, it is found that 23.17 cubic yards of concrete are needed, option D.
The volume of a cylinder of radius r and height h is given by:

In this problem:
- We want the volume in cubic yards, thus, the units of radius and height have to be in yards.
- 32 inches in diameter, thus 16 inches of radius. Since each inch has 0.0278 yards, this is a radius of 0.44 yards, thus
. - Height of 8 feet, and since each feet has 0.33 yards, this is a height of 2.67 yards, thus

- 14 poles, thus the volume is multiplied by 14.
Then:

23.17 cubic yards of concrete are needed, option D.
A similar problem is given at brainly.com/question/22789697
m<CAE = 90: definition of perpendicular
p.s. ty for this!