Question

4) (3√2+4)(√2−1)=_____+√2

Response: __________

Answer 1

`2+√(2)`

Explanation:

`(3√(2) +4)(√(2) -1) = (3*2)+4√(2) -3√(2)-4`

`= 6-4+√(2)`

`= 2+√(2)`

Answer 2

Explanation:

Use FOIL method

(3√2 + 4)(√2 - 1) = 3√2*√2 - 3√2*1 + 4 *√2 - 4*1

=3*√(2*2) - 3√2 + 4√2 - 4

= 3*2 - 3√2 + 4√2 - 4

= 6 - 3√2 + 4√2 - 4 {add the like terms}

= 6 - 4 - 3√2 + 4√2

= 2 + √2