Question

How would you solve this problem step by step ?

4√15(2√2 + √5)

Answer 1

`~~4√(15) \left( 2\sqrt 2 + \sqrt 5 \right)\\\\=8√(15) \sqrt 2 + 4√(15) \sqrt 5\\\\=8√(15* 2)+4 √(15 * 5)\\\\=8√(30)+4√(3 * 5 * 5)\\\\=8√(30) + 4 √(3* 5^2)\\\\=8√(30) + 4\cdot 5 \sqrt 3\\\\=8√(30) +20√(3)`