Final answer:
To simplify and remove all perfect squares from inside the square root of 180, we can write it as 6√5.
Step-by-step explanation:
To simplify and remove all perfect squares from inside the square root of 180, we need to factor the number 180 into its prime factors. The prime factorization of 180 is 2^2 * 3^2 * 5. Since we want to remove perfect squares, we can take out the square roots of the perfect square factors: √(2^2 * 3^2) * √5 = 2*3√5 = 6√5.