Solution for question 5. a.
[tex](4 \sqrt{3} + 3 \sqrt{2} )(4 \sqrt{3} - 3 \sqrt{2} )[/tex]
By using formula,
[tex](a + b)(a - b) = {a}^{2} - {b}^{2} \: \: we \: get[/tex]
[tex](4 \sqrt{3} + 3 \sqrt{2} )(4 \sqrt{3} - 3 \sqrt{2} ) \\ = (4 \sqrt{3)}^{2} - (3 \sqrt{2} ) ^{2} \\ = (4 \sqrt{3} \times 4 \sqrt{3} ) - (3 \sqrt{2} \times 3 \sqrt{2} ) \\ = (4 \times 4 \times \sqrt{3} \times \sqrt{3} ) - (3 \times 3 \times \sqrt{2} \times \sqrt{2} ) \\ = (16 \times 3) - (9 \times 2) \\ = 48 - 18 \\ = 30[/tex]
Answer:
30
