The product (3 - sqrt(5))(4 + 2*sqrt(5))*(1 + sqrt(5)) can be expressed in the form a + b*sqrt(5), where a and b are integers. Find a+b.
+363 I'm going to give this my best shot at it.
\((3-\sqrt5)(4+2*\sqrt5)(1+\sqrt5)\)
\(\left(2+2\sqrt{5}\right)\left(1+\sqrt{5}\right)\)
\(2\cdot \:1+2\sqrt{5}+2\sqrt{5}\cdot \:1+2\sqrt{5}\sqrt{5}\)
\(12+4\sqrt{5}\)
Someone plz tell me if I am wrong!
Have a nice day guest!
