Question

What is the exact value of the expressions the square root of 180 − the square root of 125 the square root of 5 ? simplify if possible. (1 point)

2 the square root of 2
12 the square root of 2
2 the square root of 5
12 the square root of 5

Answer 1

`√(180)-√(125)+\sqrt5=√(36\cdot5)-√(25\cdot5)+\sqrt5\\\\=√(36)\cdot\sqrt5-√(25)\cdot\sqrt5+\sqrt5\\\\=6\sqrt5-5\sqrt5+\sqrt5\\\\=\boxed{2\sqrt5}`