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3 years ago

The product of a rational and irrational number is rational

Mathematics

2 answers:

Yakvenalex [24]3 years ago

5 0

Answer:

False

Step-by-step explanation:

Ight so any irrational number times a rational number is irrational. But keep in mind that If its 0 times an irrational number, its going to be 0, which is a rational number. So irrational x rational = irrational. Irrational x 0=rational 0.

Hope this helped

nikklg [1K]3 years ago

3 0

Answer:

False

Step-by-step explanation:

I think this is a true or false question.

The statement is false.

Here is an example of it being false:

Choose the irrational number to be $\sqrt{2}$ and the rational to be 1.

The product of these numbers is $\sqrt{2}$ which is irrational, not rational.

You might be interested in

Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.

il63 [147K]

Answer:

The minimum value for $f(x) = 0.15(x + 1)^2 - 3$ is $-3$ .

Step-by-step explanation:

Given function is $f(x) = 0.15(x + 1)^2 - 3$

We need to find the maximum value or the minimum value for the function.

Now, differentiate $f(x) = 0.15(x + 1)^2 - 3$ w.r.t $x$ .

$f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\$

$f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)$

Now, we will equate $f'(x)=0$ to find critical point.

$0.3(x+1)=0\\x=-1$

Plug this critical point in to the function $f(x) = 0.15(x + 1)^2 - 3$ we get,

$f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3$

Also, $f''(x)=0.3$ which is positive, We have minimum value.

So, the minimum value for $f(x) = 0.15(x + 1)^2 - 3$ is $-3$ .

7 0

3 years ago

Elenna [48]

If you use the scientific notation to simplify these bigger numbers it will make it easier

7 0

2 years ago

(2*1) +(6*1/1,000) write in standard form

Pani-rosa [81]

Multiply and add it up and you got ur answer

7 0

2 years ago

What is 6/a-6 = 3/a-3 ?<br> help me please

Alenkasestr [34]

Answer:

a=1

Step-by-step explanation:

Multiply all terms by a and cancel:

6+−6a=3+−3a

−6a+6=−3a+3(Simplify both sides of the equation)

−6a+6+3a=−3a+3+3a(Add 3a to both sides)

−3a+6=3

−3a+6−6=3−6(Subtract 6 from both sides)

−3a=−3

−3a

−3

(Divide both sides by -3)

a=1

3 0

3 years ago

Read 2 more answers

John was given a math equation. He completed it in 5 seconds. Is his answer correct? If it is, show how he got the answer. Show

Maru [420]

Yes; his answer is correct.

John can do this by multiple ways, but most likely he just remembered this one. Here are some ways.

1. He used his fingers; he put 1 finger, then another finger, and got 2 fingers up. The answer is 2.

2. He remembered it; usually Kindergarteners learn this and this is very easy to remember.

3. He used the things around him; I have 1 crayon then add another, how many do I have? 2.

7 0

3 years ago