Question

Simplify: 3 root 45- root 125 + root 200 -root 25

Answer 1

$3 \sqrt{45} - \sqrt{125} + \sqrt{200} - \sqrt{25} \\ = 3 \sqrt{3 \times 5 \times 3} - \sqrt{5 \times 5 \times 5} + \sqrt{5 \times 5 \times 2 \times 2 \times 2} - \sqrt{5 \times 5} \\ = 3 \times 3 \sqrt{5} - 5 \sqrt{5} + 5 \times 2 \sqrt{2} - 5 \\ = 9 \sqrt{5} - 5 \sqrt{5} + 10 \sqrt{2} - 5 \\ = 4 \sqrt{5} + 10 \sqrt{2} - 5$
Hope this will help you