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
vekshin1
3 years ago
14

Prove that the product of a nonzero rational number together with an irrational number is an irrational number.

Mathematics
1 answer:
melamori03 [73]3 years ago
7 0
Each time they assume the sum<span> is </span>rational<span>; however, upon rearranging the terms of their equation, they get a contradiction (that an </span>irrational number<span> is equal to a </span>rational number<span>). Since the assumption that the </span>sum of a rational<span> and </span>irrational number<span> is </span>rational<span>leads to a contradiction, the </span>sum<span> must be </span>irrational<span>.</span>
You might be interested in
Find the dimensions of a rectangle with perimeter 76 m whose area is as large as possible. m (smaller value) m (larger value)
Sladkaya [172]

Answer:

19 m

Step-by-step explanation:

Perimeter = 2(length + width) ; P = 2(l+w) - - (1)

Area = Length * width ; A = l*w - - - (2)

76 = 2(l+w)

76/2 = l+w

l+w = 38

l = 38 - w

Put l = 38 - w in (1)

A = (38-w)*w

A = 38w - w²

At maximum point:

dA/dw = 0

dA/dw = 38 - 2w

38 - 2w = 0

38 = 2w

w = 38/2

w = 19

5 0
2 years ago
If two friends invested in a ratio of 2:3 and earned a profit of Rs. 25,000 on their investments, then the smaller share of the
podryga [215]
Sorry I just needed the points
8 0
3 years ago
$250 at 4 percent for 1 year
Jet001 [13]

Answer:

the answer is 10

Step-by-step explanation:

4% of 250 is 10 and also can you help me with my problem?

5 0
2 years ago
Ok guys this may sound bad but for an assignment I need to make a cheesey math joke ;c. Can anyone tell me one?
lakkis [162]

Answer:

what did the triangle say to the circle? “You’re pointless”

Parallel lines have so much in common..... it’s a suene they’ll never meet.

I had an argument with a 90º angle. Turns out it was right.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Lena runs 2/3 mile each day she wants to know how many miles she has to run before she has has run a whole number
padilas [110]
3 days and she will have run 2 miles 
4 0
3 years ago
Read 2 more answers
Other questions:
  • The formula I = PRT where I = Interest, P = principal, R = rate, and T = time is used to calculate the amount of simple interest
    6·2 answers
  • How do you know whether to add or subtract when using the distributive property to multiply?
    11·1 answer
  • Will give Brainliest, like, comment, 5 stars, and 5 points to best answer
    7·1 answer
  • Simplify, answer should have only positive exponents.
    15·1 answer
  • the Wilson's have 12 yd of fence for their garden.what are the length and width of the garden if it has the greatest possible ar
    5·1 answer
  • Jimmy and Lauren are
    8·1 answer
  • Can someone help me do this? im really confused if you can send it to my insta candy.lishious
    15·1 answer
  • More slope pls helpppppp
    9·2 answers
  • Suppose you are conducting a study about how the average US worker spends time over the course of a workday. You are interested
    9·1 answer
  • Please help me don't give random link or I'll report
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!