SOLUTION: Hi! I am having trouble with Addition and Subtraction of Radicals. This is a problem that I have been stuck on I hope you can help me figure it out. Thank you. Micha Mesure Radi

Algebra ->  Radicals -> SOLUTION: Hi! I am having trouble with Addition and Subtraction of Radicals. This is a problem that I have been stuck on I hope you can help me figure it out. Thank you. Micha Mesure Radi      Log On


   

Question 130085: Hi!
I am having trouble with Addition and Subtraction of Radicals. This is a problem that I have been stuck on I hope you can help me figure it out. Thank you. Micha Mesure
Radical 8x^4- radical 50x^2 +3 radical 32x^4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28+8x%5E4%29-+sqrt%28+50x%5E2%29+%2B3%2Asqrt%28+32x%5E4%29 Start with the given expression



2%2Ax%5E2%2Asqrt%282%29-+sqrt%28+50x%5E2%29+%2B3%2Asqrt%28+32x%5E4%29 Simplify sqrt%28+8x%5E4%29 to get 2%2Ax%5E2%2Asqrt%282%29



2%2Ax%5E2%2Asqrt%282%29-+5%2Aabs%28x%29%2Asqrt%282%29+%2B3%2Asqrt%28+32x%5E4%29 Simplify sqrt%28+50x%5E2%29 to get 5%2Aabs%28x%29%2Asqrt%282%29


2%2Ax%5E2%2Asqrt%282%29-+5%2Aabs%28x%29%2Asqrt%282%29+%2B3%2A4%2Ax%5E2%2Asqrt%282%29 Simplify sqrt%28+32x%5E4%29 to get 4%2Ax%5E2%2Asqrt%282%29


2%2Ax%5E2%2Asqrt%282%29-+5%2Aabs%28x%29%2Asqrt%282%29+%2B12x%5E2%2Asqrt%282%29 Multiply


sqrt%282%29%282%2Ax%5E2-+5%2Aabs%28x%29+%2B12x%5E2%29 Factor out sqrt%282%29


sqrt%282%29%2814x%5E2-+5%2Aabs%28x%29%29 Combine like terms