# 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 489000: Andrew factored the expression28x^2-42x^2+35x as 7x(4x^2+6x-5) . But when Melissa applied the distributive law and multiplied out7x(4x^2+6x-5) , she got28x^3+24x^2-23x ; thus, Andrew’s solution does not appear to check. Why is that? Please help Andrew to understand this better. Explain your reasoning and correctly factor the original expression, if possible. If the expression is prime, so state Click here to see answer by MathLover1(6649)

 Question 489379: Find the following. square root of (a+9)^2 Thanks! Click here to see answer by stanbon(57424)

 Question 489639: Rationalize the denominator: 81x^2-y^2 divided by (3 * sq root x) - sq root of y I get (9x+y)(9x-y)(3&sq root x) + y)/3x-y Can I go any further? Thanks! Click here to see answer by mananth(12270)

 Question 489790: My problem is: the square root of 1860 a^70 x^44 I worked it out and got the answer 2|a^35| x^22 sq root 465, but what I can't understand, is why is the "a" in absolute value and not the "x"? I was taught that if the square root is even and the exponent is even then use absolute value. Can you explain it to me? Thanks so much! Tracy Click here to see answer by chessace(471)

 Question 490169: Between what two whole numbers can you locate sqrt 86 ? ____ and ____ Click here to see answer by rfer(12678)

 Question 490391: What is the 2nd root of 6 times the 4th root of 6? Click here to see answer by rfer(12678)

 Question 490601: I'm confused on this math problem. use the laws of exponents to simplify (3^7/6)^2/9= Click here to see answer by Theo(3472)

 Question 480921: SImplify by factoring. Assume that all expressions under radicals represent nonnegative numbers. √48a^2 b Click here to see answer by lwsshak3(6527)

 Question 491113: Please I need help with the math problem: simplify by factoring, assume that all expressions under radicals represent non negative numbers. √75a^2b Click here to see answer by ankor@dixie-net.com(15667)

 Question 491371: Can you please explain the whole process of how to simplify the square root of 20. I see that the answer is 2 square roots of 5. But how do I get this answer? Click here to see answer by Theo(3472)
 Question 491371: Can you please explain the whole process of how to simplify the square root of 20. I see that the answer is 2 square roots of 5. But how do I get this answer? Click here to see answer by Alan3354(30993)

 Question 491388: Can you explain why x=plus/minus (2/3)^3/2 simplifies to: x=(2 square root of 6)/(9)? Click here to see answer by Earlsdon(6291)

 Question 491759: I am trying to figure out the answer to the question of one over the square root of 28. Thank you for your help Click here to see answer by Alan3354(30993)

 Question 491834: how would i rewrite this in exponential notation? ln6=x Click here to see answer by Alan3354(30993)

 Question 492145: 8). Use Radical notation to rewrite the expression, then simplify if possible.. 36to the 1/2 power Click here to see answer by nerdybill(6963)

 Question 492623: How do you use the square root property when solving 18-t^2=0? Click here to see answer by chessace(471)

 Question 493055: how would I solve 3 square root of 4-3x Click here to see answer by Alan3354(30993)

 Question 493313: How do you do this problem? (Cubed Root) 3z^4/2x^2 Click here to see answer by stanbon(57424)

 Question 493663: Find the perimeter where width = (sqrt)27 feet length = 4(sqrt)12 feet The perimeter is ______________> Click here to see answer by MRperkins(300)

 Question 493659: Evaluate the given expression, or indicate that the root is not a real number. (cubed root)- 1/216 = Click here to see answer by stanbon(57424)

 Question 494573: What is the Square root of ^64 + ^10 Click here to see answer by Alan3354(30993)

 Question 494572: What is the square root of sqrt 729 + sqrt 900 = Click here to see answer by Alan3354(30993)

 Question 495036: Hi! Can you please help me solve this question? You have a piece of paper,10cm by 10cm. Area=100 centermeter squared. For some reason you need a square piece of paper with an area of 50 centermeter squared. Using a square piece of paper, what's an easy way of getting the new square? I don't really get what the question means. I was thinking it may be to cut the square in half. Click here to see answer by scott8148(6628)

 Question 495638: How do you simplify the the square root of 96x to the 6. Click here to see answer by oberobic(2304)

 Question 495653: What is value of x? Could you explain how you got to the answer ? Click here to see answer by Alan3354(30993)

 Question 495780: what is the square root of x to the 15th Click here to see answer by Alan3354(30993)

 Question 495996: I am confused by this question, particularly because of the variable being used instead of a real number. Rewrite without exponents: x^1/4 (fraction, not division) Thanks. Click here to see answer by Theo(3472)

 Question 496594: Can you please help me with this problem I can't figure it out at all, (x-3) raised to the power of the fraction 2/3 = 25. I got the answer 125 but the computer is saying that is not right. Click here to see answer by stanbon(57424)

 Question 496568: How do you uncube a number. For example, r cubed = 108.9. How do I find r? I have a graphing calculator that I can use but dont know which button i should even push. Thanks. Click here to see answer by bucky(2189)

 Question 497614: I need help solving this problem please! An aquarium has a volume of 1320 in. cubed. The aquarium has a height of 20 in. and a length of 5 more in. than the base. Find the length and base of the aquarium. Thank you(: Click here to see answer by solver91311(16897)

 Question 498435: I was wondering how to simplify the equation (-5-sqrt-3)^2 Click here to see answer by Theo(3472)