Question

What is the following product? (5 square root 2-4 square root 3) (5 square root 2-4 square root 3)

Answer 1

Answer:

(5 square root 2-4 square root 3) (5 square root 2-4 square root 3)

=   98 - 40$\sqrt{6}$

Step-by-step explanation:

i) (5$\sqrt{2}$ - 4$\sqrt{3}$) × (5√2 - 4√3)

=(5$\sqrt{2}$ × 5$\sqrt{2}$) - (5$\sqrt{2}$ × 4$\sqrt{3}$) - (4$\sqrt{3}$ × 5$\sqrt{2}$) + (4$\sqrt{3}$ × 4$\sqrt{3}$)

= 50 - 20$\sqrt{6}$ - 20$\sqrt{6}$ + 48

= 98 - 40$\sqrt{6}$

Answer 2

Answer:

98 - 40√6

Step-by-step explanation:

The words expression can be represented as follows:

(5√2 - 4√3) (5√2 - 4√3)

The question is to find the products .

(5√2 - 4√3) (5√2 - 4√3)

Multiply through to open the bracket

25 × 2 - 20√6- 20√6 + 16 × 3

50 - 20√6 - 20√6 + 48

50 - 40√6 + 48

50 + 48 - 40√6

98 - 40√6