How do you simplify \sqrt { 8} + \sqrt { 3} + \sqrt { 3} + \sqrt { 2}?

1 Answer
Jan 31, 2018

3sqrt2+2sqrt3

Explanation:

sqrt8 = sqrt(4*2)=sqrt4 * sqrt2 = 2sqrt2

Surds can be added like this:

1sqrta + 2sqrta= 3sqrta

Therefore,

sqrt8+sqrt3+sqrt3+sqrt2

=2sqrt2+sqrt2+sqrt3+sqrt3

color(red)(=3sqrt2+2sqrt3)

Note: 1sqrta+1sqrtb != 2sqrt(a+b)