How do you evaluate 5\sqrt { 8} - 3\sqrt { 18} + \sqrt { 2} ?

1 Answer
Jul 17, 2017

5sqrt8-3sqrt18+sqrt2=2sqrt2

Explanation:

5sqrt8-3sqrt18+sqrt2

= 5sqrt(2xx2xx2)-3sqrt(3xx3xx2)+sqrt2

= 5sqrt(ul(2xx2)xx2)-3sqrt(ul(3xx3)xx2)+sqrt2

= 5xx2sqrt2-3xx3sqrt2+sqrt2

= 10sqrt22-9sqrt2+sqrt2

= (10-9+1)sqrt2

= 2sqrt2