Question 7631
Ok, the problem is to simplify:{{{4sqrt(18) - 3sqrt(32) + sqrt(50)}}}

First, factor the integers under the radical signs so as to get perfect squares, if possible:

{{{4sqrt(2*9) - 3sqrt(2*16) + sqrt(2*25)}}} Then you can write this as follows:

{{{4sqrt(2)*sqrt(9) - 3sqrt(2)*sqrt(16) + sqrt(2)*sqrt(25)}}} Now take the square roots of the perfect square numbers, 9, 16, and 25:

{{{4*3*sqrt(2) - 3*4*sqrt(2) + 5*sqrt(2)}}} Simplify and collect like-terms:

{{{12*sqrt(2) - 12*sqrt(2) + 5*sqrt(2)}}} Finally, you have:

{{{5*sqrt(2)}}}