SOLUTION: I need to simplify 3/2+sqrt 10. I multiplied the top and bottom by the bottom part resulting in 3(2- sqrt10)/4-2sqrt10+2sqrt10-sqrt100. That further Simplifies to 6-3sqrt10

Algebra ->  Square-cubic-other-roots -> SOLUTION: I need to simplify 3/2+sqrt 10. I multiplied the top and bottom by the bottom part resulting in 3(2- sqrt10)/4-2sqrt10+2sqrt10-sqrt100. That further Simplifies to 6-3sqrt10      Log On


   



Question 965039: I need to simplify 3/2+sqrt 10.
I multiplied the top and bottom by the bottom part resulting in
3(2- sqrt10)/4-2sqrt10+2sqrt10-sqrt100. That further
Simplifies to 6-3sqrt10/4-10 which simplifies further to
6-3sqrt10/-6.
The answer I'm suppose to get is -1/2(2-sqrt10)

Found 2 solutions by Murthy, MathTherapy:
Answer by Murthy(22) About Me  (Show Source):
You can put this solution on YOUR website!
3/2+sqrt 10=
Multiply numerator and denominator with (2-sqrt 10)
(3x(2-sqrt 10))/((2+sqrt 10)(2-sqrt 10))
=(3x(2-sqrt 10))/(-6)
=(2-sqrt 10)/(-2)

Answer by MathTherapy(10898) About Me  (Show Source):
You can put this solution on YOUR website!
I need to simplify 3/2+sqrt 10. 

I multiplied the top and bottom by the bottom part resulting in 
3(2- sqrt10)/4-2sqrt10+2sqrt10-sqrt100. That further 
Simplifies to 6-3sqrt10/4-10 which simplifies further to
6-3sqrt10/-6. 

The answer I'm suppose to get is -1/2(2-sqrt10)
*****************************************
You need to use parentheses!! Instead of 3/2+sqrt 10, you should've written,
3/(2+sqrt 10), to show that 2 + sqrt 10 is in the denominator. 
3%2F%282+%2B+sqrt%2810%29%29
%283%282+-+sqrt%2810%29%29%29%2F%28%282+%2B+sqrt%2810%29%29%282+-+sqrt%2810%29%29%29 
%286+-+3sqrt%2810%29%29%2F%284+-+10%29
%286+-+3sqrt%2810%29%29%2F%28-+6%29 <=== You got up to HERE!!
%28-+3%28-+2+%2B+sqrt%2810%29%29%29%2F%28-+6%29
%28cross%28-+3%29%28-+2+%2B+sqrt%2810%29%29%29%2F2cross%28%28-+6%29%29 =