#10. the rectangular prism has the following dimensions. find a simplified expression for the volume in simplest radical form. height is √11 - √5, length √11 - √3, and width is √11+√3. If you could explain how you got this aswell i would be very thankful:)

Question

anonymous · Answer

You get the Volume v by multiplying the values::
$$ v = (\sqrt11 - \sqrt5)(\sqrt11 - \sqrt3)(\sqrt11 + \sqrt3)= (\sqrt11 - \sqrt5)(11 - 3)$$$$ = 8(\sqrt11 - \sqrt5)~ \text{   or   } ~~8\sqrt11 - 8\sqrt5$$

anonymous · Answer

thank you so much i was so confused for a while:)