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
stiks02 [169]
3 years ago
12

If 5 + 2root3/7 + root3 = a-root3b find a and b where a and b are rational no

Mathematics
1 answer:
mariarad [96]3 years ago
8 0

Answer:

a = 29/46

b= - 9/46

Step-by-step explanation:

<u>Given:</u>

  • (5 + 2√3)/(7 + √3) = a - √3b

<u>Rationalizing the left side:</u>

  • (5+2√3)(7-√3)/(7+√3)(7-√3) =
  • (35 + 14√3 - 5√3 - 2√3²)/(7² - √3²) =
  • (35 - 6 + 9√3)/(49 - 3) =
  • (29 + 9√3)/46 =
  • 29/46 + √3 (9/46)

<u>Comparing the left and right sides:</u>

  • a - √3b = 29/46 + √3 9/46
  • a = 29/46
  • b = - 9/46

You might be interested in
How can I learn to round better in math
love history [14]
I have always followed an easy rule: "five or more raises the score". What it means is if the number is 5 or more, it goes to the next whole. Make sense?
3 0
4 years ago
Read 2 more answers
Can someone give me the answers I don't get this at all
Vikentia [17]
5 to 8 right or there more
4 0
3 years ago
Read 2 more answers
You are studying for your final exam of the semester. up to this point,you recieved 3 exam scores of 83%,85%, and 84%. to reciev
tamaranim1 [39]
<span>[68,100]

This will allow you to get a B score.

To solve find the medium by adding the values divided by 4, solve for the unknown of the final exam, with the minimum value equalling 80, this will give you 68.</span>
8 0
4 years ago
Read 2 more answers
A counterexample to show that the conjecture is false.
Drupady [299]
(3/4) / (1/11) =
3/4 * 11/1 =
33/4 <== improper
3 0
4 years ago
Express the following in scientific notation:<br> 1010.10
sveticcg [70]

Answer:

1.01010 x 10³. Might vary if it asks for specific significant figures.

8 0
3 years ago
Read 2 more answers
Other questions:
  • HELP HELP ASAP THANKS
    11·1 answer
  • Find the elapsed time between 8:25 am and 10:52 am
    13·1 answer
  • Pleaseer❤️❤️ help me
    10·1 answer
  • sandra is playing a trivia game.on her first turn she lost 75 points. on her second turn,she lost 35 points. on her third turn,s
    14·1 answer
  • John has $1 in a savings account that earns 5% interest compounded annually
    13·1 answer
  • Find the maximum rate of change off at the given point and the direction in which it occurs.
    5·1 answer
  • Plzzzzzzzzzzz help ​
    8·1 answer
  • Pls help me its also easy
    5·1 answer
  • PLEASE HELP!!! Complete the equation of the line through (4, - 8) and (8, 5) Use exact numbers. y =
    8·1 answer
  • No link no bot please right fast but right
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!