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3 years ago

Why is the product of a rational number and an irrational number irrational?

Mathematics

2 answers:

tangare [24]3 years ago

6 0

Answer:

Step-by-step explanation:

When you multiply and irrational by a rational, you are doing nothing to change the nature of an irrational number. The two numbers have different kinds of properties and though a multiplication can be indicated, there is no way you can change the properties of an irrational number with a rational.

Their properties just do not mix.

It is like take a solvent and mixing it with something that is not a solvent. You cannot do anything to anything to the insolvent to make it solvent simply by adding more. Their properties remain in tact.

Take 3 * 4√7

The properties of the 3 and 4 remain the same when multiplied and they can be combined. 3*4 = 12

But nothing can be done with √7. The 3 cannot effect it, anymore than what the 4 did.

pickupchik [31]3 years ago

3 0

Answer:

A. because the product is always a non-terminating, non-repeating decimal.

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How many significant figures does the following number have: 0. 0 0 2 0 4 0

madreJ [45]

Answer:

Four significant figures

Step-by-step explanation:

Rules of significant figure:

1. Zeros before any non-zero digit are considered to be NON-significant.

2. Any zeros between any non-zero digits are SIGNIFICANT

0.505

Here, there are three significant digits: 505

3. Any zeros that are to the right of the decimal point and a non-zero number are SIGNIFICANT.

4.0000

4. All non - zero digit are significant

Therefore,

0.002040 has four significant figures

2040

5 0

3 years ago

What is the answer to 0.021 g = 21

sashaice [31]

0.021g = 21 mg (milligrams)

3 0

4 years ago

Center: (10,-10)

vova2212 [387]

This is the standard form equation $\frac{(x - 10)^2}{100} + \frac{(y + 10)^2}{-100} = 1$

What is the ellipse?

The equation for an ellipse is typically written as x² a² + y² b² = 1. x² a² + y² b² = 1. An ellipse with its origin at the center is defined by this equation. The ellipse is stretched further in both the horizontal and vertical directions if a > b, a > b, and if b > a, b > a, respectively.

The standard form of the equation of an ellipse with center (h, k)and major axis parallel to the x-axis is:

$\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1$

where,

a > b

the length of the major axis is 2a

the coordinates of the vertices are (h±a,k)

the length of the minor axis is 2b

the coordinates of the co-vertices are (h,k±b)

the coordinates of the foci are (h±c,k),

where c² = a² − b².

so,

$\frac{(x - 10)^2}{100} + \frac{(y + 10)^2}{-100} = 1$

Hence, this is the standard form equation $\frac{(x - 10)^2}{100} + \frac{(y + 10)^2}{-100} = 1$ .

To learn more about ellipse, visit

brainly.com/question/16904744

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7 0

1 year ago

How many triangles can a hexagon be cut into

yKpoI14uk [10]

Answer:

Step-by-step explanation:

8 0

3 years ago

HELL WYUICKYL PELASE JM BEGGING YOU OLEASEE

Verizon [17]

Answer:

A. 8

Step-by-step explanation:

The angle shown is a 90 degree right angle (shown by the box where the vertex is)

We see that the first angle inside the right angle is 50 degrees, so the other angle must be 40 because the degrees must add up. We can set up an equation here.

$5x=40$

After dividing both sides by 5, we get x = 8

3 0

3 years ago