SOLUTION: {{{ 2 sqrt(20)-3 sqrt(45)+4 sqrt(8)}}} Does anyone know how to set this equation up ans simplify in the end? I am lost!

Algebra ->  Radicals -> SOLUTION: {{{ 2 sqrt(20)-3 sqrt(45)+4 sqrt(8)}}} Does anyone know how to set this equation up ans simplify in the end? I am lost!      Log On


   



Question 328577: +2+sqrt%2820%29-3+sqrt%2845%29%2B4+sqrt%288%29
Does anyone know how to set this equation up ans simplify in the end? I am lost!

Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


No. No one can do what you ask. I don't know what "set this equation up" really means in the first place, and in the second place, there is no equation. An equation has an equals sign in it. That's why they call them "equations." Now, what you have is an expression. To the extent that what you meant was to ask for help simplifying the expression involving radicals, proceed thus:











And that's the best you can do with this one.

John


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+2%2A+sqrt%2820%29-3%2A+sqrt%2845%29%2B4%2A+sqrt%288%29
2%2Asqrt%284%2A5%29+-+3%2Asqrt%285%2A9%29+%2B+4%2Asqrt%284%2A2%29

2%2A2%2Asqrt%285%29+-+3%2A3%2Asqrt%285%29+%2B+4%2A2%2Asqrt%282%29
4%2Asqrt%285%29+-+9%2Asqrt%285%29+%2B+8%2Asqrt%282%29
%284+-+9%29%2Asqrt%285%29+%2B+8%2Asqrt%282%29
-5%2Asqrt%285%29+%2B+8%2Asqrt%282%29 answer
Since square roots can be either (+) or (-), there
are other valid solutions also:
-5%2A%28-sqrt%285%29%29+%2B+8%2Asqrt%282%29
5%2Asqrt%285%29+%2B+8%2Asqrt%282%29 2nd solution
and
-5%2Asqrt%285%29+%2B+8%2A%28-sqrt%282%29%29
-5%2Asqrt%285%29+-+8%2Asqrt%282%29 3rd solution
and
-5%2A%28-sqrt%285%29%29+%2B+8%2A%28-sqrt%282%29%29
5%2Asqrt%285%29+-+8%2Asqrt%282%29 4th soution