Question

simplify 4 root 3 root 2 to power 2

Answer 1

solution

4√3√2²

4√3*2

4*2*√3

8√3

=√192

Answer 2

Answer:

4√3√2² = 8√3

Step-by-step explanation:

Given Expression: $4\sqrt{3}(\sqrt{2})^2$

$4\sqrt{3}(\sqrt{2})^2$

$=4\sqrt{3}(2^{\frac{1}{2}})^2$

$=4\sqrt{3}\times2^{\frac{1}{2}\times2}$

$=4\sqrt{3}\times2^1$

$=4\times2\sqrt{3}$

$=8\sqrt{3}$

Therefore, 4√3√2² = 8√3