# Questions on Algebra: Square root, cubic root, N-th root answered by real tutors!

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 Algebra: Square root, cubic root, N-th root Solvers Lessons Answers archive Quiz In Depth

 Question 307105: Simplify by taking roots of the numerator and the demoninator. Assume that all expressions under radicals represent positive numbers. The square root of 243x^6/y^20 to the fifth root. Here is what I have so far: the square root of 243x^6 to the fifth root divided by the square root of 4^20 to the fifth root. This is the answer that I got but I'm sure it is wrong. 3x^4 x^2 to the fifth root divided by y^4. Click here to see answer by rapaljer(4667)

 Question 307135: Good morning! An interesting radical conundrum for me: SIMPLIFY: fourth root of (9 / z^5) or (9 / z^5)^(1/4) I broke it down: (9)^(1/4) / (z^5)^(1/4) Then I multiplied top and bottom by (z^5)^(1/4) Result: (9z^5)^(1/4) / z^5 Simplify: z(9z)^(1/4) / z^5 Again: (9z)^(1/4) / z^4 I believe I worked this correctly, but I have doubts when I read the answer sheet in the book with the solution: (9z^3)^(1/4) / z^2 Did I miss a step? Thanks in advance... George Click here to see answer by Fombitz(13828)
 Question 307135: Good morning! An interesting radical conundrum for me: SIMPLIFY: fourth root of (9 / z^5) or (9 / z^5)^(1/4) I broke it down: (9)^(1/4) / (z^5)^(1/4) Then I multiplied top and bottom by (z^5)^(1/4) Result: (9z^5)^(1/4) / z^5 Simplify: z(9z)^(1/4) / z^5 Again: (9z)^(1/4) / z^4 I believe I worked this correctly, but I have doubts when I read the answer sheet in the book with the solution: (9z^3)^(1/4) / z^2 Did I miss a step? Thanks in advance... George Click here to see answer by CharlesG2(828)
 Question 307135: Good morning! An interesting radical conundrum for me: SIMPLIFY: fourth root of (9 / z^5) or (9 / z^5)^(1/4) I broke it down: (9)^(1/4) / (z^5)^(1/4) Then I multiplied top and bottom by (z^5)^(1/4) Result: (9z^5)^(1/4) / z^5 Simplify: z(9z)^(1/4) / z^5 Again: (9z)^(1/4) / z^4 I believe I worked this correctly, but I have doubts when I read the answer sheet in the book with the solution: (9z^3)^(1/4) / z^2 Did I miss a step? Thanks in advance... George Click here to see answer by solver91311(16872)

 Question 307082: How do you solve the cuberoot of 4 divided by the 5th root of 8? Thanks Click here to see answer by ankor@dixie-net.com(15646)

 Question 307119: Find the value of n suck that x^2-17x+n is a perfect square trinominal. a. 289/2 b. 289 c. -17/2 d. 289/4 Click here to see answer by Fombitz(13828)

 Question 307168: [SQRT (8) + SQRT (16)] / [SQRT (8) + SQRT (81)] Click here to see answer by dabanfield(803)

 Question 307393: How do you graph a cube and square root function? for example the cube root of 8 = 2 but how would wou graph that? Click here to see answer by Alan3354(30993)

 Question 307418: how do i simplify the expression: 2square root of 42 times square root of 9 Click here to see answer by rapaljer(4667)

 Question 307618: What are the correct steps of solving this problem sqrt( 4x-1 )= sqrt( 3x+5 ) I just want to make sure but i assume to square both sides to cancel the square root making them 4x-1 = 3x+5 and then subtracting the 3x making it 1x-1= 5 then add the one making it 1x = 6 then divide by one making it x = 6 Click here to see answer by ankor@dixie-net.com(15646)

 Question 307677: express in terms of i. square root of -104 Click here to see answer by Alan3354(30993)

 Question 307983: for the following function, C computes a value, where if u add millions of dollars to the value, the result is the cost of implementing a city recycling project when x as a percent (not its decimal equivalent) citizens participate. C(x)=1.5x/100-x Click here to see answer by rapaljer(4667)

 Question 307981: the volume of a cube is given by V=s^3, where S is the length of a side. find the length of a side of a cube if the volume is 800cm^3. round the answer to three decimal places Click here to see answer by rapaljer(4667)

 Question 307985: if y=sqrt X+2, what would Y be if you plugged in 0,1,2,3,4, for the letter X? round to three decimal places where necessary. Click here to see answer by checkley77(12569)

 Question 308197: What is the cubed root of 4x squared divided by the cubed root of 16? Click here to see answer by nyc_function(2733)

 Question 308918: What is root 18 multiplied by root 3? Click here to see answer by JBarnum(2044)

 Question 308955: Please can you help me simplify this expression....I don't know what to do with the number outside the square root sign.... Thank you my name is Daniel and I'm in the 9th grade.... 10 square root of (5/36) Click here to see answer by checkley77(12569)
 Question 308955: Please can you help me simplify this expression....I don't know what to do with the number outside the square root sign.... Thank you my name is Daniel and I'm in the 9th grade.... 10 square root of (5/36) Click here to see answer by stanbon(57285)
 Question 308955: Please can you help me simplify this expression....I don't know what to do with the number outside the square root sign.... Thank you my name is Daniel and I'm in the 9th grade.... 10 square root of (5/36) Click here to see answer by Alan3354(30993)

 Question 309018: I need to Simplify the product. (2√6 - 3)( 2√6 + 4) Click here to see answer by mollukutti(30)

 Question 309016: How would I simplify this question? (4 / 2√3) + (1 / √5) Click here to see answer by mollukutti(30)

 Question 309032: Can you show me how to find the sqrt for this problem? √98/9 Click here to see answer by mananth(12270)

 Question 309038: How would I simplify the product to this problem? (√5 + 2)(√5 - 6) Click here to see answer by jim_thompson5910(28536)

 Question 309384: im stuck on simplifying this problem would appreciate the help greatly simplify: sqrt 14m^5 * sqrt 7m^19 Click here to see answer by nyc_function(2733)
 Question 309384: im stuck on simplifying this problem would appreciate the help greatly simplify: sqrt 14m^5 * sqrt 7m^19 Click here to see answer by CharlesG2(828)

 Question 309426: Can you help me with this word problem? Landing speed and weight. Because the gross weight of the Piper Cheyenne depends on how much fuel and cargo are on board, the proper landing speed is not always the same. The formula V =√1.496L gives the landing speed in terms of the gross weight only. a) Find the landing speed if the gross weight is 7000 lb. b) What gross weight corresponds to a landing speed of 115 ft/sec? Click here to see answer by ankor@dixie-net.com(15646)

 Question 309497: I need to simplify each expression by rationalizing the denominator. Help please. 6 / 3 - √18 Click here to see answer by unlockmath(1599)