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

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Question 751346: x^2-x-2=0 (Completing the square)
Click here to see answer by jim_thompson5910(28595)

Question 751341:
I have tried rationalizing the denominators and mutliplying by either radical 5 or 3 radical 5, but am struggling with what to do with the whole numbers before the sqrt when I do that.
Also tried making this into improper fractions, but was again foiled with the initial 10 and then the 1 over sqrt 5.
Hope you can help me.
Click here to see answer by josgarithmetic(1516)

Question 750910: x^(2/3) + 15 =24
Click here to see answer by stanbon(57342)

Question 750910: x^(2/3) + 15 =24
Click here to see answer by jim_thompson5910(28595)

Question 750889: 5 sqrt 2 (3-sqrt 6)
Click here to see answer by stanbon(57342)

Question 750214: Can you please help me solve:
7√3 * 2 √15 ?
Click here to see answer by Alan3354(30993)

Question 750003: Cube root 40x^4y^7
Click here to see answer by KMST(1868)

Question 750000: 5th root 64x^8y^2
Click here to see answer by KMST(1868)

Question 749998: 4th root of 32y^2
Click here to see answer by KMST(1868)

Question 749986: Root 20 - root 80 + root 45
Click here to see answer by kibauu(29)

Question 749993: The square of 1/2
Click here to see answer by kibauu(29)

Question 749995: Square root of 1/5
Click here to see answer by kibauu(29)

Question 749996: Cube root of 48a^2b^3c^4
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Question 750001: 2/root 3
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Question 750002: Square root 48a^2b^2c^4
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Question 750005: Cube root of 128
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Question 750004: Cube root of 54
Click here to see answer by kibauu(29)

Question 750006: Square Root of 18x^3
Click here to see answer by kibauu(29)

Question 749872: What is the square root of 75x^3?
I'm getting 15 radical X

Click here to see answer by MathTherapy(1423)

Question 749872: What is the square root of 75x^3?
I'm getting 15 radical X

Click here to see answer by josmiceli(9676)

Question 749506: 200= 6 radical h all over 5
Solve for h.
Click here to see answer by timvanswearingen(106)

Question 749231: On earth, the distance D at which we can see the horizon(in miles), in terms of our height h above the ground in feet is modeled by: D= 6 radical h over 5.
a) At what height do we need to climb to see a distance of 200 miles to the horizon?
b)If the top of Mt. Everest is approx. at 29,029 ft above the ground, could we see 200 miles when standing there? WHY?
Click here to see answer by solver91311(16885)

Question 748277: I was working on my homework and this one stumped me. I know there can not be a radical in the denominator and I tried simplifying all of the roots before simplifying it further, but it is still giving me a bit of trouble and I would love to get help on it.
Could someone please show me how to simplify - / - ? Thank you for your help!
Click here to see answer by timvanswearingen(106)

Question 747624: I need help writing 5 4/9 as a radical

Click here to see answer by Alan3354(30993)

Question 747317: rectangle with perimeter 20cm
length xcm
diagonal 8cm
show x^2 - 10x +18 = 0
Click here to see answer by MathLover1(6632)

Question 747304: y/x + 2y/(x+4) = 3
express in terms of y
Click here to see answer by stanbon(57342)

Question 747110: I do not know how to simplify this radical expression:
The first has a 5 inside the radical and these are the numbers and variables inside the root---> 192t^17u^15
It must be simplified as much as possible
Click here to see answer by Edwin McCravy(8909)

Question 746922: Simplify. All variables represent nonnegative numbers
√x 4y 3
Click here to see answer by jim_thompson5910(28595)

Question 746919: Simplify. All variables represent nonnegative numbers.
√18
Click here to see answer by jim_thompson5910(28595)

Question 746837: simplify. All variables represent nonnegative numbers. √128

Click here to see answer by tommyt3rd(543)

Question 746432: what is the vertex of the following math problem? $what+is+the+vertex+of+the+following+math+problem%3F+$ y = -x^2 - 4x - 3
Click here to see answer by tommyt3rd(543)

Question 746432: what is the vertex of the following math problem? $what+is+the+vertex+of+the+following+math+problem%3F+$ y = -x^2 - 4x - 3
Click here to see answer by stanbon(57342)

Question 746041: please help me solve this equation 63b^2
Click here to see answer by Alan3354(30993)

Question 745913: whats (spuare root of x + radical 3) times ( square root of x + 2 radical 3)
Click here to see answer by stanbon(57342)

Question 745458: (√7+√3)(6+√8)
Click here to see answer by stanbon(57342)

Question 745290: what is 3 square root of 2 + square root of 8
Click here to see answer by tommyt3rd(543)

Question 744607: Find the variation constant and an equation of variation where y varies directly as x and y=24 when x=8
Click here to see answer by Cromlix(337)

Question 744470: Need guidance with division. 2/2*sqrt(2)-1
Do I divide by the denominator?
Thank you!
Click here to see answer by mananth(12270)

Question 744155: Write a quadratic equation in the form ax^2+bx+c=o, having the roots -2 and 5.
I set each root to 0, coming up with (x+2)(x-5). I then foiled them coming up with x^2-3x-10=0. Correct solving method?
Thank You...
Click here to see answer by KMST(1868)

Question 744018: Rationalizing the denominator of a radical expression using conjugates
√11-√3/√11+√3
I tried working the problem out but I am unsure about the foiling portion. This is what I have so far.
=√11-√3 * √11-√3/√11+√3 * √11-√3
=(√11)^2-√33-√33+(√3)^2/(√11)^2-√33+√33-(√3)^2
=11-2√33+3/11-3
=14-2√33/8
This is where I get stuck. I checked my answer with a calculator and the 2 is suppose to disappear but I don't understand why.
Click here to see answer by solver91311(16885)

Question 743973: What's the answer 4th square root of 5600 all to the power of 3?

Click here to see answer by solver91311(16885)

Question 743712: Perform the indicated operation and simplify. Write each answer in the form a+bi.

Click here to see answer by mananth(12270)

Question 743463: Please help me solve this problem.
For all x > 0 and y > 0, what is this radical expression Sqrt(x) / 3 sqrt(x) - Sqrt(y) equivalent to?
Click here to see answer by rothauserc(208)

Question 743473: find the distance between (1,-3) and (-2,6). express as a radical or a number rounded to the nearest hundredth.
Click here to see answer by jim_thompson5910(28595)

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