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RoberttheRocket
RoberttheRocket, Teacher/tutor
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Math Questions

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Please clarify question 13. There seems to be an overprinting of 96/8 on top of sqrt (27). In problem 14, you need to provide the expression to be simplified --- only the multiple choices are there. I have answers to the other questions ready.    

 Aside from questions 13 and 14, which you need to clarify (see my previous free post), the answers are as follows:


1 C. 2C. 3D. 4D. 5A. 6A. 7A. 8A. 9C


10D. 11B. 12D. 13? 14? 15A. 16D. 17B. 18A. 19B. 20C.


Answers to 13 and 14 can be provided after you have restated those questions clearly. I await your response on that. 


If you need explanations how some these answers were obtained, I will be happy to help you after this answer is accepted.


 

1 C  2 C  3 D  4 B  5 A  6 B  7 A  8 A  9 C  10 C  11 B 


12 D  13 A  14C  15A  16 D  17 C  18 A  19 B  20 C 


 


 


1. C ab


2. C.


4/x^2 [(6x^3)/(3x^4)]^2 = (2/x)^2 = 4/x^2


 


3. D.


25 2Vx + 20 = 15 + 3Vx


2Vx + 20 - 15 = 15 + 3Vx - 15


2Vx + 5 = 3Vx


2Vx + 5 - 2Vx = 3Vx - 2Vx


5 = Vx


(5)^2 = (Vx)^2


25 = x


 


4. B. 4


V(x) + 5 = V[x + 45]


Square both sides


{V[x] + 5}^2 = {V[x + 45]}^2


x + 10V[x] + 25 = x + 45


x + 10V[x] + 25 - x - 25 = x + 45 - x - 25


10V[x] = 20


Square both sides


(10V[x])^2 = (20)^2


100x = 400


(100x)/100 = 400/100


x = 4


 


5. A. (s^4)(t^4)/(r^5)


(r^-3s^5t^2)/(r^2st^-2)


= (r^-3)(r^-2)(s^5)(s^-1)(t^2)(t^2)


= (r^-5)(s^4)(t^4)


= (s^4)(t^4)/(r^5)


 


6. B.


.0003532 = 3.532 * 10 * ^-4


 


7. A.


34392.55 = 3.439255 * 10^4


 


8. A.


.000938 = 9.38 * 10^-4


 


9. C.



 


10. C.


6V[2]/V[3]


= (6V[2]) (V[3]) / (V[3])(V[3])


= (6V[6]) / 3


= (2V[6])


 


11. B.


V[18x^4y^3] =


V[2*3^2*x^4*y^3] =


(3)(x^2)(y)V[2*y]


 


12. D.


2V20 - 3V7 - 2V5 + 4V63


= 2V[4*5] - 3V[7] - 2V[5] + 4V[9*7]


= (2)(2)V[5] - 3V[7] - 2V[5] + (4)(3)V[*7]


= 4V[5] - 3V[7] - 2V[5] + 12V[7]


= 2V[5] + 9V[7]


 


13. A.


2 times the square root of 27 times 3 times the square root of 32.


2V27 * 3V32


2V[9*3] * 3V[16*2]


(2)(3)V[3] * (3)(4)V2


6V[3] * 12V[2]


72[6]


 


14. C.


If it is asking for the square root of the fraction 96/8


V[96/8]


V[12)


2V[3]


 


15. A.


V[64/100] = 8/10 = 4/5


 


16. D.


V[9x^2] / V[18y^2]


= 3x / 3yV[2]


= (3x)(V[2]) / (3yV[2])(V2[])


= (3x)(V[2]) / (3y)(2)


= (3x)(V[2]) / (6y)


= (x)(V[2]) / (2y)



 


17. C.


V[j] + V[j] + 14 = (3)V[j} + 10


2V[j] + 14 = (3)V[j} + 10


2V[j] + 14 - 2V[j] = (3)V[j} + 10 - 2V[j]


14 = V[j] + 10


14 - 10 = V[j] + 10 - 10


4 = V[j]


square both sides


(4)^2 = (V[j])^2


16 = j


 


18. A.


c^2 = a^2 + b^2


c^2 = 3^2 + 6^2


c^2 = 9 + 36


c^2 = 45


c = 3V[5]


 


19. B.


c^2 = a^2 + b^2


20^2 = 15^2 + b^2


400 = 225 + b^2


400 - 225 = 225 + b^2 - 225


175 = b^2


take the square root of both sides


V[175] = V[b^2]


V[25*7} = b


5V[7] = b


 


20. C.


c^2 = a^2 + b^2


c^2 = 4^2 + 6^2


c^2 = 16 + 36


c^2 = 52


take the square root of both sides


c = V[52]


 


 

 
Customer: replied 11 years ago.
Reply to RoberttheRocket's Post:  

13. Simplify the expression (2√27) • (3√32)


 


 


14. Simplify the expression √96/8

 

1 C  2 C  3 D  4 B  5 A  6 B  7 A  8 A  9 C  10 C  11 B 


12 D  13 A  14C  15A  16 D  17 C  18 A  19 B  20 C 


 


13. A


for 14. C


14. Simplify the expression ã[96/8]


V[96]/8 = V[16*6/8]  = V[2 * 6] = V[12] = V[4 * 3]


= 2V[3] 


C. the square root of [96 divided by 8] is  2V3 (two times the square root of 3.). 


 


V[96]/8  = V[16*6]/8]  =  4V[6] /8  = V[6] /2


The square root of [96], divide that by 8 is V[6] /2  (the square root of [6], divided by 2. and you don't have this answer.


 

 
RoberttheRocket, Teacher/tutor
Category: Homework
Satisfied Customers: 119
Experience: A teacher since 1977 and web savvy.
RoberttheRocket and 3 other Homework Specialists are ready to help you

In my haste to answer first,  I made 4 errors out of 20 which RoberttheRocket later answered correctly. In some cases, I did the math right and copied the choice wrong. I also agree with his selections for the recently restated questions #13 and #14.  Robert deserves to be the accepted answerer here. I goofed.


13.  2 sqrt 7 x 3 sqrt 32 = 2 sqrt (9*3) x 3 sqrt (16*2)


= 6 *3*4 * sqrt (3*2) = 72 sqrt 6  (A)


14. sqrt (96/8) = sqrt (8*12/8) = sqrt 12 = sqrt (4*3)


= 2 sqrt 3  (C)

Customer: replied 11 years ago.
Reply to Dr WLS's Post:

 Hello Dr WLS,


Thank you very very much for your help .you are really great person.


Thanks


 

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