Question

$$(4 \sqrt{ 2+ } 6 \sqrt{ 3 } )(3 \sqrt{ 2- } 2 \sqrt{ 3) }$$

Answer

144*sqrt(4+2**3-*3)

Solution


Simplify  \(4\sqrt{2+}\times 6\sqrt{3}\)  to  \(4\times 6\sqrt{2+\times 3}\).
\[4\times 6\sqrt{2+\times 3}\times 3\sqrt{2-}\times 2\sqrt{3}\]
Simplify.
\[4\times 6\times 3\times 2\sqrt{(2+\times 3)\times 2-\times 3}\]
Expand.
\[4\times 6\times 3\times 2\sqrt{4+2\times 3-\times 3}\]
Simplify.
\[144\sqrt{4+2\times 3-\times 3}\]