QuestionSimplify this expression. $$(\sqrt{2}+\sqrt{3})(\sqrt{5}-\sqrt{7})$$ $\sqrt{5}+\sqrt{-2}$ $\sqrt{10}+\sqrt{15}-\sqrt{14}-\sqrt{21}$ $2 \sqrt{5}-2 \sqrt{7}$ $2 \sqrt{5}+3 \sqrt{5}-2 \sqrt{7}-3 \sqrt{7}$

Studdy Solution
Simplify the expression $2 \sqrt{5} + 3 \sqrt{5} - 2 \sqrt{7} - 3 \sqrt{7}$:
Combine the like terms:
$(2 \sqrt{5} + 3 \sqrt{5}) + (-2 \sqrt{7} - 3 \sqrt{7}) = 5 \sqrt{5} - 5 \sqrt{7}$
The simplified expression is:
$\sqrt{10} + \sqrt{15} - \sqrt{14} - \sqrt{21}, \quad 5 \sqrt{5} - 5 \sqrt{7}$