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
kodGreya [7K]
2 years ago
14

Prove that 2✓3 is an irrational number .​

Mathematics
1 answer:
Ainat [17]2 years ago
3 0

Answer:

\bold{2\sqrt{3} ~is~irrational.}

Step-by-step explanation:

Hi there!

\bold{2\sqrt{3} } is an irrational number.

Now, what is an irrational number? An irrational number is a number that goes on for ever.

Examples: \bold{\pi ,\sqrt{2} , \sqrt{3} ....}

\bold{\sqrt{3} } is a surd (an irrational square root)

If we multiply 2 times \bold{\sqrt{3} }, we will get an irrational number.

Thus, \bold{2\sqrt{3} } is an irrational number.

Hope it helps! Enjoy your day!

\bold{GazingAtTheStars}

You might be interested in
Find all the zeros of 2x4+x3-14x2-19x-6 two of its zeros are -2 and -1
GalinKa [24]

Answer:

-2,\ -1,\ -\dfrac{1}{2},\ 3.

Step-by-step explanation:

Consider polynomial 2x^4+x^3-14x^2-19x-6.

If x=-2 is its zero, then you can divide the polynomial 2x^4+x^3-14x^2-19x-6 by x+2 and get

2x^4+x^3-14x^2-19x-6=(x+2)(2x^3-3x^2-8x-3).

If x=-1, then the polynomial 2x^4+x^3-14x^2-19x-6 can be rewritten as

2x^4+x^3-14x^2-19x-6=(x+2)(x+1)(2x^2-5x-3).

The quadratic polynomial has roots

x_{1,2}=\dfrac{-(-5)\pm\sqrt{(-5)^2-4\cdot2\cdot(-3)}}{2\cdot 2}=\dfrac{5\pm \sqrt{25+24}}{4}=\dfrac{5\pm \sqrt{49}}{4}=3,-\dfrac{1}{2}.

Then the polynomial 2x^4+x^3-14x^2-19x-6 has zeros -2,\ -1,\ -\dfrac{1}{2},\ 3.



7 0
3 years ago
Angela is going on vacation to Mexico. She needs to buy new shirts for her trip. She buys 10 new shirts that cost her a total of
choli [55]

Angela bought 4 casual shirts, and 6 dressy shirts.

To find this, I used the equation ($18c) + ($25d) = $222, and filled in for c (casual) and d (dressy) until the outcomes were the same. Filling in for c and d, you'll get ($18 * 4) + ($25 * 6) = $222. Solving both sides, you'll get $72 + $150 = $222 or $222 = $222. Thus meaning she bought 4 casual shirts and 6 dressy shirts,

I hope this helps!

7 0
3 years ago
Please help write the direct variation. Thank you!
prohojiy [21]

yes the table represents direct variation

the equation is y=3.99x

8 0
3 years ago
Andy's bill for lunch at a restaurant was $16.He left 15% tip. What was the amount of the tip?
natta225 [31]

Answer:

$2.40

Step-by-step explanation:

16 times 15=240 since 15 is a % which means 1/100

Move the decimal 240.00 to the left two times since dividing by 100 will move the number to the left 2 times

2.40

Which is the answer

Hope this helps!

4 0
3 years ago
Will the answer be positive or negative<br> 0+(11)=
exis [7]
If the 11 is positive, positive

if the 11 in hegative (p*n=n) so a negative
3 0
4 years ago
Read 2 more answers
Other questions:
  • What is (pic above)^ expressed in simplified form?
    7·1 answer
  • Evan buys a new car that costs $23,740. Anna buys the same car, but she buys the hybrid model for $31,140.
    12·1 answer
  • What belongs in the box marked with the question mark in the proof? Given: 4x + 1 = 6x - 2, Prove: x = 3/2
    6·1 answer
  • An arithmetic sequence has this recursive formula: What is the explicit formula for this sequence? A. an = (–1) + (n – 7)(–4)
    8·2 answers
  • Brian arrives to the College Ave student center bus stop at 5:00 PM. The waiting time for the bus to Busch campus is a random va
    5·1 answer
  • A line that comes closest to data in the coordinate plane is called the line of ___ ___.
    9·2 answers
  • How to find the missing side of each of this special right triangle? Can someone work it out?
    15·1 answer
  • A scientist used 2gallons of liquid for every 3 hours he works .he uses of gallons each hours​
    7·2 answers
  • A salesman recorded<br> $1200 in sales. His<br> commission is 12%. How<br> much is his commission?
    11·2 answers
  • There are 42 students in a class.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!