All categories

3 years ago

Rationalize root 3+root 5

Mathematics

1 answer:

k0ka [10]3 years ago

6 0

Answer:

- 2

Step-by-step explanation:

To rationalise multiply by its conjugate.

The conjugate of $\sqrt{3}$ + $\sqrt{5}$ is $\sqrt{3}$ - $\sqrt{5}$ then

( $\sqrt{3}$ + $\sqrt{5}$ )( $\sqrt{3}$ - $\sqrt{5}$ ) ← expand using FOIL

= ( $\sqrt{3}$ )² - $\sqrt{15}$ + $\sqrt{15}$ - ( $\sqrt{5}$ )²

= 3 - 5

= - 2

You might be interested in

Maria has a bag with 6 red marbles , 6 blue marbles , and 4 green marbles . Without looking Maria pick one marble. She does not

podryga [215]

40%

The probability of her getting a red marble is the number of red marbles divided by the number of total marbles. Since she picked a green marble first, we must subtract one marble from the total number of marbles, so that the total # of marbles is 6 + 6 + 4 = 16 - 1 (green marble) = 15. Since there are 6 red marbles, our probability is 6/15 or 2/5. Converted to percentage form, this is 0.4 —> 40%

7 0

3 years ago

What is the area to this??

jolli1 [7]

Answer:

30 units squared

Step-by-step explanation:

1/2(base)(height)

base=10

height=6

1/2(10)(6) = 5*6 = 30!

6 0

3 years ago

Read 2 more answers

In Triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ.

frutty [35]

The perimeter of triangle ABC is 24 units

Step-by-step explanation:

There is a fact in any triangle, the segment joining the mid points of

two sides of the triangle is:

Parallel to the third side
Its length is half the length of the third side

In Δ XYZ

∵ A is the mid point of XY

∵ B is the mid point of YZ

∴ AB = $\frac{1}{2}$ XZ

∵ XZ = 18 units

∴ AB = $\frac{1}{2}$ × 18 = 9 units

∵ C is the mid point of XZ

∵ B is the mid point of YZ

∴ BC = $\frac{1}{2}$ XY

∵ AY = 7 units

∵ AY = $\frac{1}{2}$ XY

∴ 7 = $\frac{1}{2}$ XY

- Multiply both sides by 2

∴ 14 = XY

∴ BC = $\frac{1}{2}$ × 14 = 7 units

∵ A is the mid point of XY

∵ C is the mid point of XZ

∴ AC = $\frac{1}{2}$ YZ

∵ BZ = 8 units

∵ BZ = $\frac{1}{2}$ YZ

∴ 8 = $\frac{1}{2}$ YZ

- Multiply both sides by 2

∴ 16 = YZ

∴ AC = $\frac{1}{2}$ × 16 = 8 units

∵ The perimeter of any triangle is the sum of the lengths of its sides

∴ Perimeter Δ ABC = AB + BC + AC

∴ Perimeter Δ ABC = 9 + 7 + 8 = 24 units

The perimeter of triangle ABC is 24 units

Learn more:

You can learn more about triangles in brainly.com/question/10677255

#LearnwithBrainly

3 0

3 years ago

Two mechanics worked on a car. The first mechanic charged S95 per hour, and the second mechanic charged $115 per hour.

natima [27]

Answer:

First mechanic worked for 10 hours and second mechanic worked for 15 hours.

Step-by-step explanation:

Let first mechanic worked for X hours and second mechanic worked for Y hours .

Now, according to the question , they worked for a total of 25 hours .

Thus ,

X + Y = 25.

Y = 25 - X -(1)

Also, first mechanic is charging $ 95 per hour and second mechanic is charging $115 per hour .

Thus, total money charged by them will be 95X + 115Y .

Which is given to be $2675 in the question.

Thus 95X + 115Y = 2675. -(2)

Putting equation 1 in equation 2 we get ,

95X + 2875 - 115X = 2675

20X = 200

X = 10 hours.

Thus , Y = 25 - X = 15 hours.

Thus first mechanic worked for 10 hours and second mechanic worked for 15 hours.

5 0

3 years ago

Help with this question please

algol [13]

a) (f+g)(x)=6x^3-x^2+3x+4+8x^3-1

=14x^3-x^2+3x+3

b)(f+g)(2)=14(2)^2-4+6+3

=61

c)(f-g)(x)

=6x^3-x^2+3x+4-8x^3+1

= -2x^3-x^2+3x+5

d( (f-g)(-3)

= -2(-3)^3-(3)^2+9+5

=59

6 0

3 years ago

Rationalize root 3+root 5​

Rationalize root 3+root 5