Question

( 6 root 2 + 5 root 8) ( 4 root 12 - 6 root 18)​

Answer 1

Answer:

first out sq root then add

Answer 2

Step-by-step explanation:

$(6 \sqrt{2} + 5 \sqrt{8} )(4 \sqrt{12} - 6 \sqrt{18} ) \\ = 6 \sqrt{2} ((4 \sqrt{12} - 6 \sqrt{18}) + 5 \sqrt{8} (4 \sqrt{12} - 6 \sqrt{18}) \\ = 24 \sqrt{24} - 36 \sqrt{36} + 20 \sqrt{96} - 30 \sqrt{144} \\ = 24 \sqrt{2 \times 2 \times 2 \times 3} - \\ 36 \sqrt{6 \times 6} + \\ 20 \sqrt{4 \times 4 \times 6} - \\ 30 \sqrt{12 \times 12 } \\ = 24 \times 2 \sqrt{6} - 36 \times 6 + 20 \times 4 \sqrt{6} - 30 \times 12 \\ = 48 \sqrt{6 } - 216 + 80 \sqrt{6 } - 360 \\ = 128 \sqrt{6} - 576$