SOLUTION: I don't know how to sove these problems. My teacher is horrible and explains nothing. I have a test tomorrow!!! please help 5Radical3+2Radical75

Algebra ->  Radicals -> SOLUTION: I don't know how to sove these problems. My teacher is horrible and explains nothing. I have a test tomorrow!!! please help 5Radical3+2Radical75      Log On


   

Question 176978This question is from textbook Algebra Structure and Method
: I don't know how to sove these problems. My teacher is horrible and explains nothing. I have a test tomorrow!!! please help
5Radical3+2Radical75 This question is from textbook Algebra Structure and Method

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
5Radical3+2Radical75
;
5%2Asqrt%283%29+%2B+2%2Asqrt%2875%29
:
75 can be factored, factor it to reveal a perfect square
5%2Asqrt%283%29+%2B+2%2Asqrt%2825%2A3%29
:
extract square root of 25
5%2Asqrt%283%29+%2B+2%2A5%2Asqrt%283%29
:
which is
5%2Asqrt%283%29+%2B+10%2Asqrt%283%29
:
sqrt(3)'s are like terms, so we can just add them together, so we have:
15%2Asqrt%283%29
:
:
you can check this on your calc: enter 5%2Asqrt%283%29+%2B+2%2Asqrt%2875%29 will = 25.98...
now enter our simplified answer: 15%2Asqrt%283%29 also = 25.98.....confirms your solution