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
lys-0071 [83]
3 years ago
5

Is -√15 an imaginary or irrational number?

Mathematics
2 answers:
Leno4ka [110]3 years ago
7 0

Hey there! I'm happy to help!

An irrational number is a real number that can't be written as a ratio of two other integers (non-fraction numbers) so a number like π or √2.

An imaginary number is one that breaks a mathematical rule so it can't necessarily exist as a real number. The main imaginary number is <em>i, </em>and here is the thing it does that breaks the rules and makes it imaginary:

<em>i</em>²=-1

so

√-1=<em>i </em>

We know that you cannot square a real number and have it be negative because a negative number can only be obtained by multiplying a positive and a negative number. This also shows us that there cannot be a square root of a negative number.

We have the number -√15. The placement of that negative sign is CRUCIAL! The square root of any positive integer is going to be a real number, but the square root of a negative number is nonexistent aka imaginary. √-15 would be an imaginary number, but we have -√15, which is the same thing as -1·√15. The negative sign is not inside the square root, which makes it not imaginary, so this is an irrational number. You can plug it into a calculator and it would be -3.872983346....

Have a wonderful day and keep on learning :)

Kazeer [188]3 years ago
6 0

Answer:

irrational

\sqrt{-15} would be imaginary

Step-by-step explanation:

You might be interested in
Whats the power point equation it 86.4
Marizza181 [45]

Answer

74......................

5 0
3 years ago
Sara bought a new modem for $85, and a sales tax of $5.95 was added to the cost of the product. What was the sales tax rate?
Papessa [141]

Answer: 14

Step-by-step explanation:

4 0
3 years ago
Stacey owns a lot that has 180 feet of front footage and contains 36,000 square feet. She purchases two lots adjacent to each si
bija089 [108]
The graph of the function f(x)=(x+2)(x+6) is shown

The statement the function is negative for all real values of x where x <-2
3 0
3 years ago
Read 2 more answers
Which of the following is equivalent to the equation below
NNADVOKAT [17]
1- A = B = m²-16

2- D = 4x²-3 proof: (8x³-6x)/2x =2x(4x²-3)/2x simplify to get the answer
5 0
3 years ago
If the segment OP is dilated by a scale factor r=2, what is the length of segment OP?
Zigmanuir [339]
The answer is 4 I think
7 0
3 years ago
Other questions:
  • Lu has $200.Ty has 30% more that Lu and twice as much as Ali.How much money do they have together?
    8·1 answer
  • What number is divisible by ?<br> 2 3 5 or 10 <br><br> a)130<br> b)123<br> c)555<br> d)5564
    13·1 answer
  • line p passes through points (2,13) and (9,8). line q is perpendicular to p what is the slope of line q?
    6·1 answer
  • Find the probability that a randomly selected multiple birth for women​ 15-54 years old involved a mother who was at least 40 ye
    7·2 answers
  • Please answer this correctly
    8·2 answers
  • Determine the answer to (−3) + (−5) and explain the steps using a number line
    15·1 answer
  • In a large population, 92% of the households have cable tv. A simple random sample of 225 households is to be contacted and the
    14·1 answer
  • A bathtub holds 132 gallons of water. Water is draining from the tub at a rate of 6 gallons every minute. How long will it take
    9·2 answers
  • Avery invested $200 in an account paying an interest rate of 6 7/8%
    6·2 answers
  • David needs a total of $400 to buy a new bicycle. He has $40 saved. He earns $15 each week delivering
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!