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
lesya [120]
3 years ago
10

Canh square roots be rational numbers ?

Mathematics
2 answers:
Juliette [100K]3 years ago
8 0
When the square root of a number is a whole number, this number is called a perfect square. ... Not all square roots are whole numbers. Many square roots are irrational numbers, meaning there is no rational number equivalent
irinina [24]3 years ago
7 0
Very good question, i’ll try to answer this as best as I can so here we go hope you enjoy

All rational numbers have the fraction form
,
a
b
,
where a and b are integers(≠0
b
≠
0
).

My question is: for what
a
and
b
does the fraction have rational square root? The simple answer would be when both are perfect squares, but if two perfect squares are multiplied by a common integer
n
, the result may not be two perfect squares. Like:
49→818
4
9
→
8
18

And intuitively, without factoring, =8
a
=
8
and =18
b
=
18
must qualify by some standard to have a rational square root.

Once this is solved, can this be extended to any degree of roots? Like for what
a
and
b
does the fraction have rational
n
th root?

Have a blessed day God bless.
You might be interested in
<1 and <4 in this picture are what type of angles
Elis [28]
They are supplementary angles. Aka equal to 180 degrees.
3 0
3 years ago
Read 2 more answers
Write an equation in point-slope form of the line that passes through (-1,-4) with slope -2.
andrew-mc [135]

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-(-1))

y+4=-2(x+1)

4 0
3 years ago
Side a=15 and side b=20 what is side c
Ne4ueva [31]
Answer: 25

Explains:

Use: a^2+ b^2= c^2

7 0
3 years ago
In a multiple choice quiz there are 5 questions and 4 choices for each question (a, b, c, d). Robin has not studied for the quiz
Ahat [919]

Answer:

a) There is a 18.75% probability that the first question that she gets right is the second question.

b) There is a 65.92% probability that she gets exactly 1 or exactly 2 questions right.

c) There is a 10.35% probability that she gets the majority of the questions right.

Step-by-step explanation:

Each question can have two outcomes. Either it is right, or it is wrong. So, for b) and c), we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

In this problem we have that:

Each question has 4 choices. So for each question, Robin has a \frac{1}{4} = 0.25 probability of getting ir right. So \pi = 0.25. There are five questions, so n = 5.

(a) What is the probability that the first question she gets right is the second question?

There is a 75% probability of getting the first question wrong and there is a 25% probability of getting the second question right. These probabilities are independent.

So

P = 0.75(0.25) = 0.1875

There is a 18.75% probability that the first question that she gets right is the second question.

(b) What is the probability that she gets exactly 1 or exactly 2 questions right?

This is: P = P(X = 1) + P(X = 2)

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 1) = C_{5,1}.(0.25)^{1}.(0.75)^{4} = 0.3955

P(X = 2) = C_{5,2}.(0.25)^{2}.(0.75)^{3} = 0.2637

P = P(X = 1) + P(X = 2) = 0.3955 + 0.2637 = 0.6592

There is a 65.92% probability that she gets exactly 1 or exactly 2 questions right.

(c) What is the probability that she gets the majority of the questions right?

That is the probability that she gets 3, 4 or 5 questions right.

P = P(X = 3) + P(X = 4) + P(X = 5)

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 3) = C_{5,3}.(0.25)^{3}.(0.75)^{2} = 0.0879

P(X = 4) = C_{5,4}.(0.25)^{4}.(0.75)^{1} = 0.0146

P(X = 5) = C_{5,5}.(0.25)^{5}.(0.75)^{0} = 0.001

P = P(X = 3) + P(X = 4) + P(X = 5) = 0.0879 + 0.0146 + 0.001 = 0.1035

There is a 10.35% probability that she gets the majority of the questions right.

6 0
3 years ago
HIGHSCHOOL ALGEBRA!!!!! PLS HELP :) <br> Find the root of the equation: (6x–1)(6x+1) - 4x(9x+2) = −1
My name is Ann [436]

(6x–1)(6x+1) - 4x(9x+2) = −1

Simplify the left side:

36x^2-1 -36x^2-8x = -1

Combine like terms:

-1 -8x = -1

Add 1 to both sides:

-8x = 0

Divide both sides by -8:

x = 0 / -8

x = 0

The root is 0

5 0
3 years ago
Other questions:
  • Perfect square of square root of 147
    12·1 answer
  • What is the value of x. In circle a bae = dae
    5·2 answers
  • Convert the repeating decimal to a fraction show all work to receive full credit. 0.46 repeating
    5·1 answer
  • Quon has 15 cookies. He eats one in the afternoon and another in the evening. What number describes the total change in the amou
    12·1 answer
  • Justify each step used to simplify the expression (3 - 2)x + 2y + 2
    7·1 answer
  • Answer this question to get marked as brainliest!!!!!
    5·1 answer
  • 1) A bag contains 4 gold marbles, 6 silver marbles, and 32 black marbles. Someone offers to play
    8·1 answer
  • Tatiana ran the marathon with an average speed of 0.09 miles per minute. What was her speed to the nearest mile per hour?
    5·1 answer
  • a farmer has 100m for fence avaibiable, with which he intends to build a pen for his sheep. he intends to create a rectangular p
    11·1 answer
  • HURRY UP 10 MIN LEFT (100 points)!!!!!!!!!!!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!