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

$\sqrt{180}-\sqrt{125}+\sqrt5=\sqrt{36\cdot5}-\sqrt{25\cdot5}+\sqrt5\\\\=\sqrt{36}\cdot\sqrt5-\sqrt{25}\cdot\sqrt5+\sqrt5\\\\=6\sqrt5-5\sqrt5+\sqrt5\\\\=\boxed{2\sqrt5}$

Answer 2

Answer:

C) 2 the square root of 5