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

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Question 977060: Rationalize the denominator of sqrtx+sqrty/sqrtx-sqrty assuming x>or equalt to 0 and y > or equal to 0.
a. x+2 sqrt xy+y/x-y
b. sqrtx-sqrty/sqrtx+sqrty
c x^2+y^2/x^2-y^2
I thought it was x+y/x-y but I was wrong. Thank you

Click here to see answer by KMST(5328) About Me 

Question 976750: The last digit is the double of the first digit
The second and third digit are same
Third and fourth digit make the number which is twice
the number in the first and second digit and it would be a number plate

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 977158: m/n - 2m/5n
Click here to see answer by Cromlix(4381) About Me 

Question 978196: Pls help in solving: if A and B are roots of the equation : +2x%5E2++%2B++5x+++%2B++K=0 where K is constant and A - 2B=3 find the value of B and K
Click here to see answer by josmiceli(19441) About Me 

Question 978265: Under root x+y=7
X+under rooty=11,find the value of x and y

Click here to see answer by rothauserc(4718) About Me 

Question 978603: When the amount of (p) is invested at annual interest rate (r) compounded for (t) years, it will grow to. An amount (a) given by the formula
A=P (1+r)^t
1 suppose php 20,000 is invested at annual interest rate(r) compounded annually
In 3 years, it grows to php 23,152. What is the interest rate?
2. Suppose in 10 years. The php 20,000 invested grows to php 35816.95, what is the interest rate?
Hello :)
Hope you can help me solve this problem :)
Im really thankful if anyone can answer it :)

Click here to see answer by Boreal(15235) About Me 

Question 978659: hello,
how do i simplify
2 radical 2 + 3 radical 8

Click here to see answer by rothauserc(4718) About Me 

Question 978758: Pleas help out: if the root of the equation4x%5E2+-8x++%2B++3+=0 are A and B, form the equation whose roots are%28A+++%2B++1%2FB%29+and+%28B+++%2B++1%2FA%29
Click here to see answer by Fombitz(32388) About Me 

Question 978831: Simplify (5xy)^3
Click here to see answer by Alan3354(69443) About Me 

Question 978832: Simplify and write with only positive exponents: b^-3 x b^-5 x b^2
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Question 978916: Simplify (7x)^-2 divided by 7x^3
Simplify 8x10^3 divided by 8x10^2

Click here to see answer by Gogonati(855) About Me 

Question 978923: Simplify 8x10^3 divided by 8x10^2
Click here to see answer by ikleyn(52776) About Me 

Question 979323: Hello
The lessons is about extracting the roots so i don't know if in the right one
But anyway hope you can help me solve this problem :)
Thank you!
When the amount of (p) is invested at the annual interest rate (r) compounded for (t) years, it will grow to an amount (a) given by the formula
A=P (1+r)^t
1find the interest rate if php 30,000 compounded annually grows to php 33,765 in four years?
2 find the interest rate if php 50,000 compounded annually grows to php 55,204 in five years?
Hope anyone can solve this :)

Click here to see answer by Alan3354(69443) About Me 

Question 979326: The lesson is all about extracting the roots so correct me if im in the wrong lessons...
But anyway hope anyone can solve my another question :)
When the amount of (p) is invested at annual interest rate (r) compounded for (t) years, it will grow to an amount (a) given by the formula
A=P (1+r)^t
1 Suppose php 20,000 is invested at an interested rate (r) compounded annually in 5 years, it will grow to php 60,000. What is the interest rate?
2 suppose in five years, the php 35,000 invested grows to php 75 345.75 , what is the interest rate?

Click here to see answer by rothauserc(4718) About Me 
Question 979326: The lesson is all about extracting the roots so correct me if im in the wrong lessons...
But anyway hope anyone can solve my another question :)
When the amount of (p) is invested at annual interest rate (r) compounded for (t) years, it will grow to an amount (a) given by the formula
A=P (1+r)^t
1 Suppose php 20,000 is invested at an interested rate (r) compounded annually in 5 years, it will grow to php 60,000. What is the interest rate?
2 suppose in five years, the php 35,000 invested grows to php 75 345.75 , what is the interest rate?

Click here to see answer by Boreal(15235) About Me 

Question 979484: I need to simplify the equation: +sqrt%28+a%5E2+%2B+b%5E2+%29+
Click here to see answer by josmiceli(19441) About Me 
Question 979484: I need to simplify the equation: +sqrt%28+a%5E2+%2B+b%5E2+%29+
Click here to see answer by Alan3354(69443) About Me 

Question 979808: (24x^3y^4)^1/2 + (54xy^2)^1/2 =
Assuming x and y are positive real numbers

Click here to see answer by Boreal(15235) About Me 

Question 980382: I need to double check to see if I did this correctly please
Sqrt (18)m ^2

Click here to see answer by macston(5194) About Me 

Question 980444: 1/3 divided by square root of 10/3
Only the number 10 has the square root;not included the number 3

Click here to see answer by MathLover1(20849) About Me 
Question 980444: 1/3 divided by square root of 10/3
Only the number 10 has the square root;not included the number 3

Click here to see answer by josgarithmetic(39616) About Me 

Question 980750: Rationalize the denominator of 2√7/x+√7.
Click here to see answer by macston(5194) About Me 

Question 980825: Radical 81x plus radical 25x
Click here to see answer by MathLover1(20849) About Me 

Question 980823: 1/2 radical 20 plus radical 45
4 radical 18 minus 3/4 radical 32 minus 1/2 radical 8
radical 20 minus 10 radical 1/5
Please tell me the steps to solve these

Click here to see answer by josh_jordan(263) About Me 

Question 980824: 1/2 radical 20 minus radical 1/5 plus 1/5 radical 80
Click here to see answer by josh_jordan(263) About Me 

Question 980827: 5 radical 3y minus radical 27x plus radical 12y
Click here to see answer by josh_jordan(263) About Me 

Question 980941: please write the expression in the lowest terms
63 +54 sqrt of 18/27
63 +54 sqrt of 18/27

Click here to see answer by Alan3354(69443) About Me 

Question 980994: +%28a-b%29%2F%28sqrt+%28+a+%29%2Bsqrt+%28+b+%29%29+
Click here to see answer by josgarithmetic(39616) About Me 

Question 980995: rationalize and simplify
+x%2F%28sqrt+%28+x+%29-sqrt+%28+y+%29%29+

Click here to see answer by josgarithmetic(39616) About Me 

Question 981022: +%28sqrt%28+3+%29-5%29%2F%28sqrt%28+3+%29%2B5%29+
my answer : +%2811-2sqrt%28+3+%29%29%2F11+
but when i check on m.a.t.h.w.a.y it's: -+-%28%28-sqrt%28+3+%29%2B5%29%5E2%29+%2F+22+

Click here to see answer by Fombitz(32388) About Me 

Question 981026: rootx y=11.......(1) and rootx-y=7......(2) find the valu of x and y
Click here to see answer by Fombitz(32388) About Me 

Question 981039: Square root of 28 Divided by the negative square root of 96?
Click here to see answer by Fombitz(32388) About Me 

Question 981109: what can we multiply to rationalize the denominator?
+%28sqrt%28+2+xy%5E2%29%29%2F%28cube+root+of%28+8+xy%5E3%29%29+

Click here to see answer by josgarithmetic(39616) About Me 

Question 981108: what can we multiply to rationalize the denominator?
+%28sqrt%28+2+%29xy%5E2%29%2F%28cube+root+of%28+8+%29xy%5E3%29+

Click here to see answer by Edwin McCravy(20054) About Me 
Question 981108: what can we multiply to rationalize the denominator?
+%28sqrt%28+2+%29xy%5E2%29%2F%28cube+root+of%28+8+%29xy%5E3%29+

Click here to see answer by Alan3354(69443) About Me 

Question 981293: Simplify or reduce.
sqrt (12) plus sqrt (108)

Click here to see answer by MathLover1(20849) About Me 

Question 981292: Simplify or reduce.
sqrt (3/8)

Click here to see answer by MathLover1(20849) About Me 

Question 981741: solve for d
+d%2B1=sqrt%28+d%5E2%2B3+%29+

Click here to see answer by Fombitz(32388) About Me 

Question 981740: solve for a
+sqrt%28+2a%2B7+%29-sqrt%28+3a%2B2+%29=0+

Click here to see answer by MathLover1(20849) About Me 

Question 982021: Sqrt[28x/25y^4]
Click here to see answer by MathLover1(20849) About Me 
Question 982021: Sqrt[28x/25y^4]
Click here to see answer by stanbon(75887) About Me 

Question 982054: In the right triangle, triangle ABC, the altitude line segment CD is at a right angle to the hypotenuse. You can use +CD=sqrt%28%28+AD+%29%28+DB+%29%29+ to find certain lengths.
a) find AD if CD=10 and DB=4
+CD=sqrt%28%28+AD+%29%28+DB+%29%29+
+10=sqrt%28%28+AD+%29%28+4+%29%29+
+10=sqrt%28+4AD+%29+
+10%5E2=%28sqrt%28+4AD+%29%29%5E2+
+100=4AD+
+100%2F4=%28+4AD+%29%2F4+
+25+=+AD+
b) find DB if AD=20 and CD=15
+CD=sqrt%28%28+AD+%29%28+DB+%29%29+
+15=sqrt%28%28+20+%29%28+DB+%29%29+
+15=sqrt%28+20DB+%29+
+15%5E2=%28sqrt%28+20DB+%29%29%5E2+
+225=20DB+
+225%2F20=%28+20DB+%29%2F20+
+45%2F4+=+DB+ or 11.25
are my answers correct?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 982066: the speed of an object increases as it falls towards the ground. the speed (d) and the time (t) it will take for the object to reach the ground from where it came from are related by the quadratic equation +d=%281%2F2%29gt%5E2+ where g is the acceleration due to gravity. what happens to the value of d if t is doubled?
Click here to see answer by josgarithmetic(39616) About Me 

Question 982191: +d=%281%2F2%29gt%5E2+
what happens to the value of d if t is doubled?

Click here to see answer by josgarithmetic(39616) About Me 

Question 982956: -89+67*56/8^675
Click here to see answer by macston(5194) About Me 

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