Question

How do you simplify `\frac { 1} { 2} \sqrt { 8} + \frac { 3} { 5} \sqrt { 50} - \frac { 2} { 3} \sqrt { 18}`?

Answer 1

`1/2sqrt8+3/5sqrt50-2/3sqrt18=2sqrt2`

Explanation:

`1/2sqrt8+3/5sqrt50-2/3sqrt18`

= `1/2sqrt(2xx2xx2)+3/5sqrt(5xx5xx2)-2/3sqrt(3xx3xx2)`

= `1/2xx2xxsqrt2+3/5xx5xxsqrt2-2/3xx3xxsqrt2`

= `1/cancel2xxcancel2xxsqrt2+3/cancel5xxcancel5xxsqrt2-2/cancel3xxcancel3xxsqrt2`

=`sqrt2+3sqrt2-2sqrt2`

= `sqrt2(1+3-2)`

= `sqrt2xx2`

= `2sqrt2`