+0

# Algebra

0
130
1

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
+361
+1

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