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
anyanavicka [17]
2 years ago
9

The product of two rational numbers is irrational.

Mathematics
1 answer:
PtichkaEL [24]2 years ago
7 0

Answer:

The statement is false.

Step-by-step explanation:

Here we need to remember some things:

Integer numbers are closed under multiplication.

This means that for two integers a and b, the product a*b is also an integer.

A rational number is a number that can be written as the quotient of two integer numbers.

An irrational number is a number that can't be written as the quotient of two rational numbers.

Now let's see the statement:

"The product of two rational numbers is irrational."

The product of two rational numbers is written as:

\frac{a}{b} *\frac{c}{d}

Where a, c, b, and d are integers.

We can rewrite that product as:

\frac{a*c}{b*d}

Because of the first property, we know that a*c is an integer, and b*d is also an integer, so here we have a quotient of two integer numbers, so this is a rational number.

Then the product of two rational numbers is a rational number.

Then the statement is false.

You might be interested in
They randomly survey 50 students about how much money they spend on lunch each day. What is the expected value for a student to
siniylev [52]
2$ for public 3-4$ for private
3 0
3 years ago
Describe the solutions of 5 <n​
Ainat [17]

Answer:

D

Step-by-step explanation:

All real number less than 5

4 0
3 years ago
Is x + y = 18 linear or non linear?
r-ruslan [8.4K]
A linear equation has 1 for all exponents on the placeholders
aka the equation is first degree (aka the hightest exponent on placeholders=1) so
it is linear
7 0
2 years ago
Read 2 more answers
A machine in a laboratory is set to steadily increase the temperature inside. The temperature in degrees Celsius inside the mach
vaieri [72.5K]

Answer:

1) f(3) means the temperature after 3 seconds

2) f(3) = 22 + 1.3(3) = 25.9

Temperature after 3 seconds is 25.9°C

3) f(t) = 35 means after t seconds, temperature was 35°C

4) 35 = 22 + 1.3t

1.3t = 13

t = 10 seconds

6 0
2 years ago
Read 2 more answers
What is 0.375 expressed as a fraction
Leno4ka [110]
0.735 expressed as a fraction is 3/8
7 0
2 years ago
Read 2 more answers
Other questions:
  • What is the center of the circle that has a diameter whose endpoints are (9, 7) and (-3, -5)?
    6·2 answers
  • What is a triangular prism? Guy please answer this question it's me ?
    14·2 answers
  • How do you divide 4 into 196
    14·1 answer
  • Analyze the pre-image ABCD. What are the vertices of the final image if T–1, –2 ◦ ry = x is applied to figure ABCD?
    6·2 answers
  • Consider the cylinder with a volume of 132π cm3. What is the volume of a cone with the same radius and height as the cylinder?
    6·2 answers
  • If (m,2m+1) is a solution of the equation x +3y=7, find the value of m
    12·1 answer
  • Kumar bought some mangoes. The price of each mango () is found to be 6 more than the total number of mangoes bought by him and t
    7·1 answer
  • HELP PLEASE I DONT KNOW WHAT TO DO
    10·1 answer
  • Eric puts two angles together to form a straight angle one angle measures 115 degrees what is the measurements of the other angl
    9·1 answer
  • Would you be able to help me with this question I don't really understand
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!