Questions on Algebra: Radicals -- complicated equations involving roots answered by real tutors!

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Question 468638: Simplify by taking roots of the numerator and denominator. Assume all variables represent positive numbers.
sqrt(64/y^2)=____

Click here to see answer by jorel1380(2518)

Question 468650: use the laws of exponente to simplify (5^7/10)(5^5/10)
Click here to see answer by Earlsdon(6287)

Question 468568: Solve the equation a²+b²=c² for b
suppose that an isosceles right triangle has a hypotenuese with length 30cm
I do not understand this equation or how to solve for b, when I have not been given a and c. I am confused on this.
Then next "What are the lengths of the triangle?"
Click here to see answer by ankor@dixie-net.com(15650)

Question 468683: simplify
3V-1
the v is a square root symbol, and the 3 is suppose to be in the indentation of the root, not directly to the side. Would the answer be that the root is not a real number? I thought if there is a negative inside the root, that is the answer, but I do not know
Click here to see answer by Theo(3463)

Question 468684: multiply
(V2)(-8V2+7)
the v's are suppose to be square root symbols
Click here to see answer by Theo(3463)

Question 468681: Divide Then simplify by taking roots, if possible Assume that all expressions under radical represent positive numbers
V63xy^3 / V9x
the v's are square root symbols and ^means it is raising to that power this is also a fraction, so it is the square root of 63xy^3 (numerator) over the square root of 9x (denominator)
Click here to see answer by Theo(3463)

Question 468751: What is the conjugate for the denominator? How can we rationalize this denominator? 4/2-√3. Thanks.
Click here to see answer by algebrahouse.com(1079)

Question 468766: Solve the following quadratic equations by completing the square.
x^2 + 4x - 12 = 0
Click here to see answer by algebrahouse.com(1079)

Question 468790: Could someone please help me with this? It's my final question on my final exam. I am somewhat stumped.
20th root outside the radical, inside is (-6)^20
Thanks so very much!!

Click here to see answer by ccs2011(207)

Question 468785: Could someone please help me with this? I believe I am doing it correct, however have a final exam and want to be certain.
In a right triangle , find the length of the side not given
b=1, c=square root 10.
I know to use the Pythagorean Theorem but I am coming up with an answer that is not a single digit number.
Thanks again!!
Click here to see answer by Tatiana_Stebko(1326)

Question 468934: A ladder 8ft long resting against a house makes a 60 degree angle with the ground.How far up the house does it reach? Give answer in terms with the radical in the numberator
Click here to see answer by stanbon(57342)

Question 469020: Use rational exponents to write root:4:(2) * root:2:(5) as a single radical expression.
Click here to see answer by Tatiana_Stebko(1326)

Question 469131: how do you solve the √1.25 and its solution?thanks=)
Click here to see answer by stanbon(57342)

Question 469147: Divide. Then simplify by taking roots, if possible.
(root:3:(375))/(root:3:(3))
Click here to see answer by Tatiana_Stebko(1326)

Question 469499: Solve the following problem: The diagonal of a square has a length of 8√2. Find the length of a side of the square.

Click here to see answer by Tatiana_Stebko(1326)

Question 469794: 3^sqrt 9m^7n^2 times 3^sqrt 3m^3n
Click here to see answer by sofiyac(695)

Question 469930: Find a quadratic equation for the solutions of 1/3 and 5

Click here to see answer by ewatrrr(10682)

Question 469937: Find a quadratic equation for the solutions of 2 and 8
(x-2)(x-8) = 0

Click here to see answer by ewatrrr(10682)

Question 470028: Solve the radical equation, and check all proposed solutions.

the square root of 5x +24 = x
Click here to see answer by sofiyac(695)

Question 469931: Solve 4w^-1/5=-8 where w is a real number.
Simplify your answer as much as possible. If mulitiple answers, seperate with comma.

Click here to see answer by Edwin McCravy(8909)

Question 470197: Simplify
4^5/2
Click here to see answer by Tatiana_Stebko(1326)

Question 470631: A cylinderical can is designed to hold a volume of 1000 cm3.
If the radius is increased by 25%, what is the corresponding decrease in height so the volume is still 1000 cm3?
Could you please show all the steps?
Click here to see answer by Gogonati(809)

Question 470679: multiply (2√6-4√2)(5√6 +10√2)
*****Note: Simplify your answer. type an exact answer, using radical as needed. Thank you!
Click here to see answer by Tatiana_Stebko(1326)

Question 470636: I'm have difficulty writing in the standard form (a+bi). please walk me though the problem. Thank you: ((1/3+ sqrt( 10 )/6 i))^2
Click here to see answer by Tatiana_Stebko(1326)

Question 471112: hello,I am stumped and tired..(-125)^4/3 thanks
Click here to see answer by ewatrrr(10682)

Question 471110: Please can someone help? I have no idea where to start, and please show me how u got the answers, thank you.
1. sqrt x^9z^2/18y^5

2. 2 sqrt x-3/sqrt x+5
3. (2^3 sqrt 40+^3 sqrt 48)(6^3 sqrt 4-^3 sqrt 32)

4. (x+4)^3

Click here to see answer by Alan3354(30993)

Question 471227:
Click here to see answer by jorel1380(2518)

Question 471773: (5sqrt4 - 3sqrt2)(5sqrt27 + 5sqrt8) can someone help me solve this? having trouble simplifying
Click here to see answer by Tatiana_Stebko(1326)

Question 472087: the sqroot of (3x+10)^2= (5-2x)^2
Click here to see answer by edjones(7569)

Question 472455: Subtract. Simplify by collecting like terms if possible
3V75 -6V3 =
the two V's are suppose to be square root symbols
Click here to see answer by MathLover1(6632)

Question 472709: 1) sqrt x^9 z^2/18y^5
2) (2 ^3sqrt40 + ^3sqrt48)(6 ^3sqrt4 - ^3sqrt32)
Please help me simplify, Ive tried but I just cant wrap my head around the first sum, and the second sum, I get so far but no joy.
Click here to see answer by MathLover1(6632)

Question 472904: write the expression 2^3/5 as a radical
Click here to see answer by Theo(3463)

Question 472923: Perform the Multiplication and Simply
(10 * 4th root of 3x^3)^4

Click here to see answer by stanbon(57342)

Question 472843: How do you add a whole number to a simplified square root?
Example: 6+3sqr3
I can't get a square root symbol to copy and paste. So sqr is where it should be.
Also, how do you multiply 2 square root fractions?
Example: sqr of 1/4 x sqr of 2/9
Thanks so much
Click here to see answer by Theo(3463)

Question 473083: what are the square roots of 16oo?
Click here to see answer by MathLover1(6632)

Question 473120: What is the index of a radical? When workjing with radicals can the radicand be negative when the index is odd? Can it be negative when the index is even?
Click here to see answer by stanbon(57342)

Question 473118: What is the index of a radical? When working with radicals can the radicand be negative when the index is odd? Can it be negative when the index is even?
Click here to see answer by stanbon(57342)

Question 473158: How do I solve for x in the equation:
Click here to see answer by Alan3354(30993)

Question 473158: How do I solve for x in the equation:
Click here to see answer by Tatiana_Stebko(1326)

Question 473267: not sure where to input the 66
1. The attendants at a parking lot park cars in temporary spaces before the cars are taken to permanent parking stalls. The number N of such permanent spaces needed is approximated by the function:
N(a) = 2.5 squareroot a
Where a is the average number of arrivals.
a) What is the number of spaces needed when the average number of
arrivals is 66? What is it when the average is 100?
Click here to see answer by jim_thompson5910(28595)

Question 473598: Find the following. Assume that variables can represent any real number.
V(a+5)^2
^means it is raising to that power and the V is suppose to be the square root symbol the (a+5)^2 is in the whole root.
Click here to see answer by jim_thompson5910(28595)

Question 473592: multiply
(5V3-15V2)(3V3+9V2)
all of the V's are suppose to be square root symbols
Click here to see answer by Alan3354(30993)

Question 473791: How do I solve this please?
14sqrt (-5)^14=
the problem has 14 in the arm of the sqrt then has (-5)^14 inside the sqrt
Thank you!
Click here to see answer by rfer(12657)

Question 474049:
2
w + 8w w
-------- * -----
2+2w-48 w+6
w
Click here to see answer by stanbon(57342)

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