1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrej [43]
3 years ago
14

Rationalize the denominator 2√7+√3/3√7-√3​

Mathematics
2 answers:
kobusy [5.1K]3 years ago
8 0

Answer:

  • (2√7+√3)/(3√7-√3)​ =
  • (2√7+√3)(3√7+√3)​/(3√7-√3)​(3√7+√3)​ =
  • (2*3*√7² + 2√21 + 3√21 + √3²)/(9√7² - √3²) =
  • (42 + 3 + 5√21)/(63 - 3) =
  • (45 + 5√21)/60 =
  • (9 + √21)/12
Dahasolnce [82]3 years ago
5 0

Answer:

\frac{2 \sqrt{7}  + \sqrt{3}}{3 \sqrt{7} -  \sqrt{3}  }  =  \frac{2 \sqrt{7}  + \sqrt{3}}{3 \sqrt{7}  -  \sqrt{3} } . \frac{3 \sqrt{7} +  \sqrt{3}  }{3 \sqrt{7} +  \sqrt{3}  }  \\  \\  =  \frac{(2 \sqrt{7} + 3)(3 \sqrt{7}  +  \sqrt{3})  }{(3 \sqrt{7}  - 3)(3 \sqrt{7} +  \sqrt{3} ) }  \\  \\  =  \frac{(42 + 2 \sqrt{21} + 9 \sqrt{21}   + 3 \sqrt{21} )}{63 - 3}  \\  \\  =  \frac{42 +  2\sqrt{21}  + 9 \sqrt{21} + 3 \sqrt{21}  }{60}

You might be interested in
Find the area of the polygon with vertices K (-2,4), L (6,-2), M (4,-4), and N (-6, -2)
Dennis_Churaev [7]

Answer:

the answer is 12

Step-by-step explanation:

5 0
3 years ago
Please help. I don't get this.
vredina [299]

Answer:

5.5

Step-by-step explanation:

1+1+1 3/4+1 3/4= 5.5

5.5*2=11

11/2=5.5

5 0
3 years ago
PLZ HELP!!! Estimate the diameter of a circle with a circumference of 86 cm.
Pepsi [2]
Pi=3.14, So 86 x 3.14= [ 270.04]
5 0
3 years ago
What is -0.3 as a fraction? NEED ANSWER NOW
jok3333 [9.3K]

Your answer would be - 3/10

6 0
3 years ago
Suppose that a monopolist
daser333 [38]

Answer:

The monopolist's net profit function would be:

N(y)=198\,y\,-\,2.5\,y^2

Step-by-step explanation:

Recall that perfect price discrimination means that the monopolist would be able to get the maximum price that consumers are willing to pay for his products.

Therefore, if the demand curve is given by the function:

P(y)=200-2y

P stands for the price the consumers are willing to pay for the commodity and "y" stands for the quantity of units demanded at that price.

Then, the total income function (I) for the monopolist would be the product of the price the customers are willing to pay (that is function P) times the number of units that are sold at that price (y):

I(y)=y*P(y)\\I(y)=y\,(200-2y)\\I(y)= 200y-2y^2

Therefore, the net profit (N) for the monopolist would be the difference between the Income and Cost functions (Income minus Cost):

N(y)=I(y)-C(y)\\N(y)=(200\,y-2y^2)-(2y+0.5y^2)\\N(y)=198\,y\,-\,2.5\,y^2

5 0
3 years ago
Other questions:
  • What is the range and domain of: <br><br>y= 4|x|-1
    13·1 answer
  • What is 17/12 in simplest form
    11·2 answers
  • How many times can 90 go into 3?
    5·2 answers
  • What is the value of x? PLZ LMK ASAP!
    9·1 answer
  • Help with math question please
    13·1 answer
  • Must know this plzzzz (24+86)×12+0=​
    6·2 answers
  • Please help! :3c
    10·1 answer
  • If an object is propelled upward from a height of 48 feet at an initial velocity of 96 feet per second, then its height after t
    8·1 answer
  • 2,451 people came to watch the Easter parade. 745 of those people were adults. How many children came to the parade? 742 child p
    11·1 answer
  • PLS ANSWER ILL GIVE BRAINLIEST TO THE FASTEST ANSWER!!!!!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!