Question

what is the following product? (2 sqrt 7+3 sqrt 6) (5 sqrt 2+4 sqrt 3)

Answer 1

To find the product of  $(2\sqrt{7} +3\sqrt{6} )\cdot (5\sqrt{2}+ 4\sqrt{3} )$.

Solve:

$(2\sqrt{7} +3\sqrt{6} )\cdot (5\sqrt{2}+ 4\sqrt{3} )$

A product is the result multiplying or an expression that identifies  factor to be multiplied.

$\left (\left (2\sqrt{7}\cdot 5\sqrt{2} \right ) +\left (2\sqrt{7}\cdot 4\sqrt{3} \right )+\left (3\sqrt{6}\cdot 5\sqrt{2}\right)+\left ( 3\sqrt{6}\cdot 4\sqrt{3} \right ))$

$\left ( 10\sqrt{14} + 8 \sqrt{21} +15\sqrt{12}+ 12\sqrt{18} \right )$

Therefore, the product of $(2\sqrt{7} +3\sqrt{6} )\cdot (5\sqrt{2}+ 4\sqrt{3} )$ is $10\sqrt{14} + 8 \sqrt{21} +15\sqrt{12}+ 12\sqrt{18}$

Answer 2

option 'd' would be correct.