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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.

 Jan 7, 2022
 #1
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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!

 Jan 7, 2022

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