SOLUTION: √10a + 2√40a^3 I can't find the instructions in my reading! I think I have to factor something, but I have no idea.

Algebra ->  Radicals -> SOLUTION: √10a + 2√40a^3 I can't find the instructions in my reading! I think I have to factor something, but I have no idea.      Log On


   

Question 541672: √10a + 2√40a^3
I can't find the instructions in my reading! I think I have to factor something, but I have no idea.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2810a%29 + 2%2Asqrt%2840a%5E3%29
:
Factor the 2nd term inside the radical to reveal some perfect squares
sqrt%2810a%29 + 2%2Asqrt%284%2A10%2Aa%5E2%2Aa%29
:
Extract the square root of those perfect squares
sqrt%2810a%29 + 2%2A2%2Aa%2Asqrt%2810a%29
sqrt%2810a%29 + 4a%2Asqrt%2810a%29
:
Factor out the square root of 10a
sqrt%2810a%29(4a + 1)