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
ladessa [460]
2 years ago
11

Is

\\" alt="\sqrt{\frac{1}{4} } \\" align="absmiddle" class="latex-formula"> a rational number?
Yes or No
is \sqrt{ \\\\\\\frac{3}{16} a rational number?
Yes or no
Explain:
Mathematics
2 answers:
Jobisdone [24]2 years ago
3 0
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1.
BlackZzzverrR [31]2 years ago
3 0

Answer:

Yes

No

Step-by-step explanation:

A rational number is a number that can be written in fraction form. Even the infinite decimal, if the infinite decimal can be written in a fraction form, we consider that as a rational number.

\sqrt{ \frac{1}{4} }

Any numbers that are inside the square root will be counted as irrational number. Unless if we are able to pull the number inside the square root all out.

From the square root, we are able to pull out 1 and 4.

\sqrt{ \frac{1 \times 1}{2 \times 2} }  \\  \frac{1}{2}

Therefore, the square root of 1/4 is a rational number.

Next we have the square root of 3/16.

\sqrt{ \frac{3}{16} }

We can consider separately, for numerator and denominator.

For numerator which is 3, cannot be pulled out.

For denominator which is 4, can be evaluated as 2.

\sqrt{ \frac{3}{2 \times 2} }  \\  \frac{ \sqrt{3} }{2}

The reason why I keep the evaluated square root of 2 as a denominator because of the properties.

\sqrt{ \frac{x}{y} }  =  \frac{ \sqrt{x} }{ \sqrt{y} }

So when we evaluate square root of 4 as a denominator, we will get 2 as a denominator.

Because there is still a square root which is square root of 3 and cannot be evaluated by pulling out.

Numbers inside Square Root are an approximately number. Unless can be evaluated by pulling the same two numbers.

You might be interested in
Which are correct statements regarding proofs? Select three options.
Masja [62]

Answer:

the answer is c hope u get it right

Step-by-step explanation:

A flowchart proton gives valuable represent state mental and resions

3 0
3 years ago
Read 2 more answers
300 milliliters are equivalent to how many liters?
White raven [17]
Thanks for using brainly!B. 0.3 would be the answer.
7 0
3 years ago
Read 2 more answers
Abby's auto wash earns revenues of $14 per customer. After serving 2 customer, how much revenue will abby's auto wash have?​
ruslelena [56]

Answer:14+14=28

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Idk help me ong , plzzz help meeeeeeeeee
krek1111 [17]

Answer:6\

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
three apples and four bananas cost $4.85 . three apples and ten bananas cost $8.75.Find the cost of an apple.
konstantin123 [22]
8.75-4.85= 3.90= cost of 6 bananas
3.9/6=0.65= cost of one banana
.65*4=2.60= cost of 4 bananas
4.85-2.60= 2.25= cost of 3 apples
2.25/3=.75= cost of an apple
5 0
3 years ago
Read 2 more answers
Other questions:
  • 3,429,111<br> place value of 4
    15·2 answers
  • Use the sum of cubes identity to find the factors of the expression <img src="https://tex.z-dn.net/?f=8x%5E%7B6%7D%20%20%2B27y%5
    13·1 answer
  • MAY SOMEBODY HELP ME THANKS!
    9·2 answers
  • What is -3/8 5/16 -0.65 2/4 least to greatest
    7·2 answers
  • Convert fraction 1/40 into a decimal form
    6·2 answers
  • I15= <br> I<br> -I<br> 1<br> -1<br> Please help
    12·2 answers
  • When ordering tickets online, a college theater charges a $5 handling fee no matter how large the order. tickets to a comedy con
    6·1 answer
  • Zach bought a gold necklace originally priced at $50 but on sale for 60% off. After 10% sales tax,
    11·2 answers
  • the relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card. sta
    7·1 answer
  • A TV has a listed price of $578.98 before tax. If the sales tax rate is 8.25%, find the total cost of the TV with sales tax incl
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!