SOLUTION: OK I have a problem: I have the right answer and I've even had it double checked by my teacher I'm just not sure how I got there. The problem is: 2√5+3√20 And I know t

Algebra ->  Radicals -> SOLUTION: OK I have a problem: I have the right answer and I've even had it double checked by my teacher I'm just not sure how I got there. The problem is: 2√5+3√20 And I know t      Log On


   



Question 256858: OK I have a problem: I have the right answer and I've even had it double checked by my teacher I'm just not sure how I got there.
The problem is: 2√5+3√20 And I know the right answer is:8√5.
I just can't remember I got from one to the other.

Found 3 solutions by CharlesG2, Earlsdon, richwmiller:
Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
" OK I have a problem: I have the right answer and I've even had it double checked by my teacher I'm just not sure how I got there.
The problem is: 2√5+3√20 And I know the right answer is:8√5.
I just can't remember I got from one to the other. "
Let me see if I can help.
2*sqrt(5) + 3sqrt(20)
2*sqrt(5) + 3sqrt(4*5) --> you can take the 4 out from under the radical since it is the square of 2
2*sqrt(5) + 3*2*sqrt(5)
2*sqrt(5) + 6*sqrt(5)
8*sqrt(5) --> the answer


Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
2sqrt%285%29%2B3sqrt%2820%29 Substitute 20 = 4*5
2sqrt%285%29%2B3sqrt%284%2A5%29 Take the square root of 4 (that's 2) and move it out from under the radical to get:
2sqrt%285%29%2B3%2A2sqrt%285%29 Simplify and add the radicals.
2sqrt%285%29%2B6sqrt%285%29+=+highlight%288sqrt%285%29%29

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Your story doesn't make sense. Judge Judy is fond of saying if a story doesn't make sense it is probably not true. A more believable story is that you found the answer in the back of the book and don't want to or don't know how to solve the problem.
3%2Asqrt%2820%29=3%2Asqrt%284%2A5%29= 3%2Asqrt%284%29*sqrt%285%29=3%2A2sqrt%285%29=6sqrt%285%29
So 2sqrt%285%29+6sqrt%285%29=8sqrt%285%29