The length of a rectangular prism is 4√3 units. the height is 3√6 units. if the volume is irrational, which could be the measure of the width of the rectangular prism? answer choices: a. 2√50 b. 4√12 c. 5√8 d. 7√18 explain all steps

Volume = length * height * width
             =   4 qrt3 + 3 sqrt6 * w
              = 12 sqrt18 w

let w = 2 sqrt50 then volume =  2*12 *  sqrt 18*50  = 24*30  so this is rational

let w =  4 sqt 12 the v = 48  sqrt12 * sqrt 18 = 48 sqrt30  which is irrational

C and D are rational  
answer is B

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