Question

4) (3√2+4)(√2−1)=_____+√2

Response: __________

Answer 1

Answer:

$2+\sqrt{2}$

Step-by-step explanation:

$(3\sqrt{2} +4)(\sqrt{2} -1) = (3*2)+4\sqrt{2} -3\sqrt{2}-4$

$= 6-4+\sqrt{2}$

$= 2+\sqrt{2}$

Answer 2

Answer:

Step-by-step 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