What is the following product? Will award brainliest! (4x startroot 5x^2 endroot +2x^2 startroot 6 endroot)^2

Last option is correct

104x^4 + 16x^4√30

Step-by-step explanation:

let’s simplify what we have in the roots;

4x √(5x^2) = 4x^2 √5

(4x^2√5) + 2x^2 √(6)^2

(4x^2√5)(4x^2√5) + 4x^2√5(2x^2√6) + 2x^2√6(4x^2√5) + 2x^2√6(2x^2√6)

= (16 * x^4 * 5) + (8 * x^4 * √30) + (8 * x^4 * √30) + (4 * x^4 *6)

= 80x^4 + 8x^4 √30 + 8x^4 √30 + 24x^4

= 104x^4 + 16x^4√30

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2