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
Evgen [1.6K]
3 years ago
10

Rationalize the denominator.

Mathematics
1 answer:
mel-nik [20]3 years ago
3 0

Answer:

7sqrt(15) - 5sqrt(6)

------------------------------

45

Step-by-step explanation:

7 -sqrt(10)

-----------------------

3 sqrt(5) *sqrt(3)

7 -sqrt(10)

-----------------------

3 sqrt(15)

Multiply the top and bottom by sqrt(15)/ sqrt(15)

7 -sqrt(10)               sqrt(15)

----------------------- * ------------

3 sqrt(15)                 sqrt(15)


(7 -sqrt(10))* sqrt(15)

-----------------------------------

3 *15

Distribute


7sqrt(15) - sqrt(150)

------------------------------

45

sqrt(ab) =sqrt(a) sqrt(b)

150 = 25*6

7sqrt(15) - sqrt(25)sqrt(6)

------------------------------

45

7sqrt(15) - 5sqrt(6)

------------------------------

45

You might be interested in
If the m∠2 = 40, what is the m∠5?
77julia77 [94]

Answer: The answer is 100.

Step-by-step explanation: 40 divided by 2 = 20

x=20

20x5=100

5 0
3 years ago
Read 2 more answers
Who isthe father of geometry
Yuliya22 [10]
Euclid (Euclid of Alexanderia)
7 0
3 years ago
Read 2 more answers
What is the difference in basicity between drain cleaner (pH 13) and ammonia (pH 11.9)?
gogolik [260]

Answer:

#chemical drain cleaners, plungers, handheld, drain augers, air burst cleaners, and home remedy drain cleaners are typically applied to the problem of a clogged then electric drain cleaners sewers jetters or such mechanical devices are usually required

and Ammonia is a colorless highly irritating gas with a sharp suffocating odor. It dissolves easily in water to form ammonium hydroxide solution which can cause irritation and burns. Ammonia gas is easily compressed and forms a clear, colorless liquid under pressure.

5 0
3 years ago
What is the value of n?
givi [52]

Answer:

7 cm

Step-by-step explanation:

First you need to check if the equation line was 10, then use it!

3 0
3 years ago
Read 2 more answers
The sales tax in your city is 8.8%, and an item costs $63 before tax.
Maru [420]

Answer: 5.54

Step-by-step explanation:

amount of tax paid = item cost * tax rate

item cost = 63

tax rate - 8.8% = 0.088

tax paid = 63 * 0.088 = 5.54

8 0
3 years ago
Read 2 more answers
Other questions:
  • What does x equal in the equation below?<br> 4x - 2 = 10
    11·2 answers
  • What is the value of x?
    13·2 answers
  • Which number produces a rational number when multiplied by 1/5 ?
    5·2 answers
  • in a round robin tennis tournament involving 7 players, each player will play every other player twice. How many total matches w
    14·1 answer
  • Which equation best represents the line graphed above? <br><br><br> Please help
    8·1 answer
  • A bird sanctuary initially contains 1500 birds. Each year, 15% of the birds fly away, so the sanctuary is restocked with 60 new
    11·1 answer
  • Find a​ point-slope form for the line with slope 1/5 ( 1 over 5) and passing through the point ​(−8​,−9​)
    9·1 answer
  • FIND TWO NUMBERS WHOSE SUM IS 21 AND DIFFERENCE IS 17<br><br>11 , 10<br>2 ,23<br>19 ,2​
    6·1 answer
  • PLEASE HELP MEH WIT DA QUESTION:
    12·2 answers
  • In which number does the 7 have a value that is 1/100 the value of the 7 in 468.705?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!