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galben [10]
2 years ago
8

2,76 5. Rationalize the denominator of the following: 2 root 6 divided by root 2 + root 3

Mathematics
1 answer:
rewona [7]2 years ago
8 0

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

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always put the 1st number you would like to turn to scientific notation

so the 1st number here is 3

then you turn 8 into a decimal because it is the only other number that isnt 0 and then it is 3.8

you then count every number after 3 including 8 which is

then you always put 10 x whatever number you are doing but right now it is 3.8

and the answer is

10 x 3.8^7

5 0
3 years ago
Some fireworks are fired vertically into the air from the ground at an initial speed of 80 feet per second. The equation for thi
EastWind [94]

Answer:

Vertex (-2.5,-300)

Step-by-step explanation:

We are given with h(t)=-16 t^2 +80 t.  We are asked to find the vertex.

X-coordinate of vertex =\frac{-b}{2a}

Where 'a' is coefficient of t^{2} term

'b' is coefficient of 't' term.

From given function, a= -16

b=80

So,

x-coordinate of vertex =\frac{-80}{2(-16)}

                                =-2.5

y-coordinate of vertex =-16(-2.5)^{2} +80(-2.5)

Simplify it,

            =-100 -200

           = -300

So, vertex is at (-2.5, -300).

4 0
3 years ago
A man bought a book for 15rs. If twice the amount left with him is 70rs, how much money did he have?
N76 [4]

Answer:

50 rs.

Step-by-step explanation:

Just look at the picture for a step by step explanation..

Hope it helps you...

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5 0
3 years ago
Read 2 more answers
I need help pls answer right and don't just pick an answer again pls help.
lara31 [8.8K]

Answer:

-4

Step-by-step explanation:

It the slope hits the y axis, that number will be the y intercept

3 0
3 years ago
Nola purchased 2.5 pounds of cheese for $10.50. Her mother purchased 3 pounds of the same cheese for $12.60. The cost of cheese
jeka94

Answer:

cost per pound = $4.20

Step-by-step explanation:

Cheese cost per pound = ?

first for the cost per pound

cost per pound = total cost / pounds bought

cost per pound = $10.50 / 2.5 pounds

cost per pound = $4.20

to check the above answer is correct

cost per pound = total cost / pounds bought

cost per pound = $12.60 / 3 pounds

cost per pound = $4.20

Therefor, the cheese costs $4.20 per pound.

4 0
3 years ago
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