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
Vlada [557]
3 years ago
6

Please help with question 6, 7, 8, and 9 about rational and irrational numbers

Mathematics
1 answer:
aliina [53]3 years ago
4 0
6. When we multiply two surdic integers, we can leave it into one big surd.
For instance, if we have:

\sqrt{a} \cdot \sqrt{b}, we can simplify it down to one uniform square root sign, \sqrt{ab}.

So, we can say: 3\sqrt{2} \cdot 8\sqrt{18} = 24\sqrt{36}, which is a rational root, because the square root of 36 can be converted into an integer, namely 6 and -6.

Hence, it is a rational root.

7. The summation, on the other hand, cannot be simplified any further, so it will stay as irrational. This is because √2 is already an irrational root, and adding it onto a number that is rational will stay as irrational.

8. Once again, the summation cannot be simplified. We can only simplify by factoring like terms. Hence, this must be irrational.

9. Even if it is in fractional notation, √5 can never be a rational number because no two integers when multiplied by itself will give 5. So, even if it is written in fractional form, they cannot be rational if there is an already irrational term in it.
You might be interested in
Find the equation of the line that passes through the points (-4, 2) and (1, -8). Use the form y=Mx+b
GuDViN [60]
ANSWER: Y=-2x-6

EXPLANATION:
(2- -8)/(-4-1)= 10/-5= -2

2=-2(-4) +b
2= 8 + b
b=-6
5 0
3 years ago
The second hand of a clock makes a full revolution once every minute. What is its angle of rotation after 20 seconds? After 45 s
nikklg [1K]
360/60 = 6

6 degrees every second

6*20 = 120 degrees


120 degrees after 20 seconds


6 * 45 = 270

270 degrees after 45 seconds


Hope I helped!

Let me know if you need anything else!

~ Zoe
7 0
3 years ago
how much would it have rained each month if the total amount of rain (11 inches) was redistributed equally among the 12 months o
xeze [42]

Answer:

11/12 inch

Step-by-step explanation:

That'd be 11/12 inch per month for 12 months.

4 0
2 years ago
Help 10 POINTS MATH IS NOT MY STRONG SUIT
Masja [62]

Answer:

infinite number of solutions

Step-by-step explanation:

Work with the second equation.  Subtract 8x from both sides.

- 4y + 8x - 8x = -8x - 12                   Collect like terms.

-4y = - 8x - 12                                   Divide by - 4

-4y/-4 = - 8x/-4 - 12/-4

y = 2x + 3

That is exactly the same line as the first given.  There is an infinite number of solutions.

6 0
2 years ago
Angle KLM and angle MLN are a linear pair.
VashaNatasha [74]

Answer: Angles RLN and MLK would be vertical angles.

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Write an equivalent expression for 8g + 8 - 5g + 12 + 2g - 3 4- 2g + 6
    5·2 answers
  • Helppppllplllppppppplllleldldldldlldldffbfbdbrjdj
    14·1 answer
  • Evaluate \dfrac{e}{4}+2f-3 4e +2f−3 when e=12e=12 and f=\dfrac12f= 21<br> ​
    15·1 answer
  • Will the sugar, the sand, or both dissolve in the water?
    5·2 answers
  • Final questions I'm asking if you've been keeping up. Thanks in advance.
    13·1 answer
  • What is the answer to the problem 16g +20h with the distributed property applied​
    12·2 answers
  • The co-terminal angle of 420°<br><br>​
    15·1 answer
  • How many 5/6 are in 2/3
    13·2 answers
  • The relationship between the amount of tomato sauce and tomato paste needed for a pasta sauce recipe is shown in the following g
    7·1 answer
  • Distribute 3x ( -x + 4).​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!