Question

find 10√20+4√45+√80​

Answer 1

Answer:

$10 \sqrt{20} + 4 \sqrt{45} + \sqrt{80} \\ = 10 \sqrt{4 \times 5} + 4 \sqrt{9 \times 5} + \sqrt{16 \times 5} \\ = 10 \times 2 \sqrt{5} + 4 \times 3 \sqrt{5} + 4 \sqrt{5} \\ = 20 \sqrt{5} + 12 \sqrt{5} + 4 \sqrt{5} \\ = (20 + 12 + 4) \sqrt{5} \\ = 36 \sqrt{5}$