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
muminat
3 years ago
15

Identify which of the following statement(s) is always true?

Mathematics
1 answer:
julia-pushkina [17]3 years ago
8 0

Answer:

Statement 3

Step-by-step explanation:

<u>Statement 1:</u> For any positive integer n, the square root of n is irrational.

Suppose n = 25 (25 is positive integer), then

\sqrt{n}=\sqrt{25}=5

Since 5 is rational number, this statement is false.

<u>Statement 2:</u> If n is a positive integer, the square root of n is rational.

Suppose n = 8 (8 is positive integer), then

\sqrt{n}=\sqrt{8}=2\sqrt{2}

Since 2\sqrt{2} is irrational number, this statement is false.

<u>Statement 3:</u> If n is a positive integer, the square root of n is rational if and only if n is a perfect square.

If n is a positive integer and square root of n is rational, then n is a perfect square.

If n is a positive integer and n is a perfect square, then square root of n is a rational number.

This statement is true.

You might be interested in
Marissa bought four bottles of water Each bottle of water is 0.95 cents Write an equation with the same product as the total cos
zysi [14]

Answer: Total cost = Cost of each bottle × Number of bottles

Step-by-step explanation: If each bottle of water Marissa bought cost 0.95cents. This means four bottles will cost = 0.95 + 0.95 + 0.95 + 0.95 = 3.80 cents

This can be written simply as 0.95 × 4 = 3.80 cents

Therefore, a general equation for calculating the total cost of bottle water will be;

Total cost = Cost of each bottle × Number of bottles.

8 0
3 years ago
How do i solve for x ?
antoniya [11.8K]

Answer:

Step-by-step explanation:

3 0
3 years ago
Translate the sentence into an equation. Six more than the quotient of a number 5 and 9 equals . Use the variable y for the unkn
sashaice [31]
the answer is 6+5y=9
7 0
3 years ago
Can each pencil have a mass of 10.5 grams in a pack of 5 pencils weighing 60 to 95 grams?
kvasek [131]
I don't know if I'm right, but if each pencil is 10.5 grams then you multiply it by 5 ( number of pencils) and you get 52.5, which would not meet the standards of a pack weighing 60 to 95 grams.
8 0
3 years ago
Find the estimate of square root of 22 to teh nearest tenth using a dudne number line
Yuliya22 [10]

Answer:

Step-by-step explanation:

22 of square foot to the nearest ten is 4.6

6 0
2 years ago
Other questions:
  • Solve
    10·1 answer
  • Translate the word phrase into a variable expression. Five more than the product of x and 6. A. (x + 6) + 5 B. 5x + 6 C. 6x + 5
    6·2 answers
  • Harry purchased some fruits and sold 1/2 of them at a gain of 60% and 1/4 of them at a gain of 20%, the rest were spoiled. Find
    6·2 answers
  • Trish runs 3 miles every 50 minutes. At this rate, how many minutes did Trish tun 12 miles? plzzz help me!!!
    12·2 answers
  • What is the correct symbol to replace the box and compare the expression?
    12·1 answer
  • Two thirds plus a number plus 4 is 7
    15·2 answers
  • Blopie help me :(((((
    9·1 answer
  • In triangle ABC, a=31 , b=22 , c=18. Identify m∠A rounded to the nearest degree.
    11·1 answer
  • Shima will mix 1 fluid Ounce of fertilizer in water for every 40 square feet of soil. At this rate, which of the following expre
    5·1 answer
  • A man works a basic week of 32 hours and earns $172.48. Find his basic rate of pay
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!