Question

Evaluate the following expression
$(3 \sqrt{5} )(2 + \sqrt{5} )(1 - \sqrt{5})$​

Answer 1

Answer:

$= -900 -360\sqrt{5}$

Step-by-step explanation:

$(3 \sqrt{5} )(2 + \sqrt{5} )(1 - \sqrt{5} )$

$(6 \sqrt{5} + 15)(1 - \sqrt{5} )$

$6 \sqrt{5} (1 - \sqrt{5} ) + 15(1 - \sqrt{5} )$

$(6 \sqrt{5}-30)(15-15\sqrt{5})$

$(90 \sqrt{5}- 450 - 450 -450\sqrt{5})$

$= -900 -360\sqrt{5}$