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
djyliett [7]
3 years ago
6

If an integer n has three unique prime divisors, then it follows that the largest prime divisor of n is less than or equal to cu

be root of n. True or False?
Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0

Answer:

False

Step-by-step explanation:

Lets call the three prime divisors of n p, q, and r, being r the largest, we know:

n=q * p * r

Now, if

q * p < r

then

n < r * r = r^2

So:

\sqrt{n} < \sqrt{r^2} = r

Also, for every natural greater than one, we know:

\sqrt[3]{n}

so

\sqrt[3]{n}

from which:

\sqrt[3]{n} < r

So, we see, this means the preposition is false, we can find a particular counterexample:

q=2

p=3

p*q = 6

We need to choose a prime greater than 6

r=7

n= 2 * 3 *7 = 42

\sqrt[3]{42} = 3.4760 < 7

You might be interested in
Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution. 4(t + 2) = 10
Nuetrik [128]

Answer & Step-by-step explanation:

4(t + 2) = 10

4t + 8 = 10

4t = 2

t = 1/2

Hope this helps

3 0
3 years ago
The explicit rule for a sequence is given.
tamaranim1 [39]

a_{1}=3

a_{n}=16a_{n-1}

just use the standart recursive for geometric sequence

6 0
3 years ago
Read 2 more answers
Two friends shop for fresh fruit. Jackson buys a watermelon for $6.35 and 4 pounds of cherries. Tim buys a pineapple for $4.25 a
bekas [8.4K]

Answer:

7.65 + 5p - (2.45 - 4p) =

7.65 + 5p - 2.45 + 4p =

5.20 + 9p <==

Step-by-step explanation:

hope dis helps mark me as brainliest pls!!!!!

3 0
3 years ago
Can u help me understand this and solve it im so confused
kaheart [24]

Answer:

what is the topic?

Step-by-step explanation:

3 0
2 years ago
The polynomial p(x) = x3 – 6x2 + 32 has a known factor of (2 - 4).
Dima020 [189]

Answer:

x3-6x2+32

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • An expression is shown: martha evaluates the expression using these steps: step 1: step 2: step 3:
    10·1 answer
  • If gross pay increases by $500, total employee benefits increase by $200 and total job expenses decrease by $300, then total emp
    6·2 answers
  • There are 10 players on the soccer team. Three of the players are in fifth grade. Five of the players are in the sixth grade. Wh
    6·2 answers
  • What number divided by 8 equals 2
    7·2 answers
  • Sum or products of 4x47
    7·2 answers
  • Adding Mixed Numbers<br> Find each sum. Simplify your answer.<br> 1. 5+31 =
    11·2 answers
  • The original price was $20,000 the sales price was $18,000 what is the percent discount
    8·1 answer
  • Find the quotient.
    14·1 answer
  • John is 5 feet 10 inches tall. There are 2.54 centimeters in 1 inch.
    8·2 answers
  • Let f(x)=3x-4 and g(x)=x^2-5. Find f(g(3))
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!