Question

8ab+4(a-b) при a=√3; b=√2

Answer 1

$8ab + 4(a - b) = 8ab + 4a - 4b = \\ = 8 \times \sqrt{3} \times \sqrt{2} + 4 \times \sqrt{3} - 4 \times \sqrt{2} = \\ = 8 \sqrt{6} + 4 \sqrt{3} - 4 \sqrt{2}$

Answer 2

Substituting a=√3 and b=√2 into the expression 8ab+4(a-b), we get:

8ab+4(a-b) = 8(√3)(√2) + 4(√3-√2)

We can simplify this expression by using the fact that (√3)(√2) = √6, and distributing the 4:

8ab+4(a-b) = 8√6 + 4√3 - 4√2

Therefore, the value of the expression 8ab+4(a-b) when a=√3 and b=√2 is 8√6 + 4√3 - 4√2.