solve 7 √ 3 + 2 √ 9 and explain whether the answer is rational or irrational
Answers
Answer:
Option D. is correct.
Step-by-step explanation:
Let us assume that x = seven square root three plus two square root nine
i.e. x = 7√3 + 2√9
⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}
⇒ x = 7√3 + 6
Here, 7√3 is an irrational number and 6 is a rational number.
The answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.
Therefore, option D. is correct.
The correct answer is 7√3 + 6 is irrational because the sum of a rational number and an irrational number is an irrational number.
What are rational numbers, and irrational numbers?Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex] where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.
Irrational numbers are those real numbers which are not rational numbers.
Assume that x be the seven square root three plus two square root nine ;
i.e. x = 7√3 + 2√9
Now
⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}
x = 7√3 + 6
Here, we can see that 7√3 is an irrational number and 6 is a rational number.
The correct answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.
Therefore, option D is correct.
Learn more about numbers here;
https://brainly.com/question/3151755
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Related Questions
Which statement is most likely to be true for this distribution?
A. The mean is the same as the median.
B. The mean is less than the median.
C. The mean is greater than the median.
Answers
Answer:
B
Step-by-step explanation:
The distribution is skewed to the left (the lower end is pulled out to the left). The mean is less than the median. If the distribution were even more skewed to the left the mean would decrease, but the median (middle number in the data) would stay the same.
Find values for p and q so that the equation has infinitely many solutions.
px - 2 = 4x + x + 9
p =
Answers
First what you should do is subtract the 2 on both sides
You’ll get px = 4x+x+7 then add the x to 4x
Px= 4x^2 +7
Dived the x on the left on both sides like this px/x = 4x^2+7/x
P= 4x+7
I need help this is due today
Answers
Answer:
h = 14
Step-by-step explanation:
just substitute the x value and calculate for h
x = (-18)
h = 17 + -(18)/6
h = 17 + (-3)
h = 17 - 3 = 14
Which data set has a variation, or mean absolute deviation, similar to the data set in the given dot plot?
.
. .
. . . . . . .
<-]---]---]---]---]---]---]---]---]---]---]---]->
⁵⁰ ⁵¹ ⁵² ⁵³ ⁵⁴ ⁵⁵ ⁵⁶ ⁵⁷ ⁵⁸ ⁵⁹ ⁶⁰ ⁶¹
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Answer:
I'd say B has similar data set
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Answers
Answer:
Decimal form : 66.67
Fraction form: 66 and 2 thirds / 100
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252
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Jerry had 45 tickets for games at a carnival.he used 1/3 of the tickets to play ball-toss game. He used 2/5 of the tickets to play the ring -toss game,he saved the rest for the following day. How many tickets did jerry have after playing these games?
A:19
B:12
C:21
D:18
Answers
45 - 15 = 30
30 / 5 = 6
6 x 2 = 12
30 - 12 = 18
The answer is D:18
what sum of money will amount to Rs.9261 in 3yrs at 5% per annum compound interest?
Answers
What sum of money will amount to Rs.9261 in 3yrs at 5% per annum compound interest?
Answer:-Given:-[tex] \bullet [/tex] Amount (A) = Rs.9261
[tex] \bullet [/tex] Time (n) = 3 yrs
[tex] \bullet [/tex] Rate of interest (r) = 5%
To Find:-Required Sum
Solution:-We know the formula,
[tex] { \boxed{\rm \red {A \; = \: P(1 \: + \frac{r}{100})^n}}} [/tex]
[tex] \therefore [/tex] Putting the values we get,
[tex] \bf 9261 \: = \: P(1 \: + \frac{5}{100})³ [/tex]
[tex] \bf P \: = \: 9261 \: × (\frac{20}{21})³ [/tex]
[tex] \bf P \: = \:9261 \: × \frac{20}{21} × \frac{20}{21} × \frac{20}{21} [/tex]
[tex] \bf P \: = \: Rs.8000 [/tex]
[tex] \therefore [/tex] Required Sum is Rs.8000. [Answer]1. 3/5 divided by 7/12
Answers
[tex] \frac{3}{5} \div \frac{7}{12 } [/tex]
[tex] = \frac{3}{5} \times \frac{12}{7} [/tex]
[tex] = \frac{36}{35} [/tex]
[tex] = 1 \frac{1}{35} [/tex]
What is the value of x in the equation 8 + x = 3?
A. −5
B. 5
C. 11
D. 24
Answers
Answer:
I think it's A
I hope this helps
Because if you subtract 8 from 3 you get -5
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Answers
Answer:
100, 120, 140
Step-by-step explanation:
The mode is the value that occurs most often in the sequence. All the numbers occur twice
Find p(4) for the function.
2. p(x) = 7x2 - 9x + 10
Answers
Answer:
P(4)=-12
Step-by-step explanation:
p(4)=7x2-9(4)+10
p(4)=14-36+10
p(4)=24-36
p(4)=-12
Angela claims she has successfully translated PR to P’R’ along the vector MN
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Answers
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Answers
Answer:
-3
Step-by-step explanation:
(-4)(6)/12
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= -2
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there are 45 students In a class. if 60% of them are girls. find the numbers of girls and boys
Answers
Step-by-step explanation:
No. of students in class = 45 .
Percentage of girls = 60% .
No . of girls = 45 × 60/100 = 45 × 3/5 = 18 .
No. of boys = 45 - 18 = 27
Answer:
27 girls
18 boys
Step-by-step explanation:
Convert 60% to a decimal.
60% · .01 = 0.6Multiply 45 students by 0.6 to find the number of girls in the class.
45 * 0.6 = 27 girlsSubtract this amount from the total number of students in the class.
45 - 27 = 18 boysThere are 27 girls and 18 boys in the class.
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Answers
Answer:
38
Step-by-step explanation:
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rational
Step-by-step explanation:
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Answer:
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Answer:
Answer D
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Answer:
x=43
Step-by-step explanation:
Answer:
x = 34°
Step-by-step explanation:
(x + 7) + (63° + (2x + 8) = 180°
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A.
125 yards per minute
B.
110 yards per minute
C.
400 yards per minute
D.
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Answers
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Answer:
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Answers
Answer:
a₆₄ = 596Step-by-step explanation:
The equation of the nth term of the arithmetic sequence is: [tex]a_n =a_1+d(n-1)[/tex]
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Answer:
Question? It's incomplete.
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Answers
Answer:
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Step-by-step explanation:
U may ask if any explanation needed