Question

simply the following expression: 3√5-5√2+2√20+3√8​

Answer 1

Answer:

$3 \sqrt{5 } - 5 \sqrt{2} + 2 \sqrt{20} + 3 \sqrt{8 } \\ = 3 \sqrt{5} - 5 \sqrt{2} - 2 \sqrt{5 } \times \sqrt{4} + 3 \sqrt{4} \times \sqrt{2} \\ = 3 \sqrt{5 } - 5 \sqrt{2} - 2 \sqrt{5 } \times 2 + 3 \times 2 \times \sqrt{2} \\ = 3 \sqrt{5} - 5 \sqrt{2} - 4 \sqrt{5} + 6 \sqrt{2} \\ = \sqrt{2} - \sqrt{5}$