What is the square root of 864 simplified?

Answer 1

The square root of 864 can be simplified by first factoring it into its prime factors: (864 = 2^5 \times 3^3). Taking the square root of each factor gives (\sqrt{864} = \sqrt{2^4 \times 2^1 \times 3^2 \times 3} = 2^2 \times 3 \times \sqrt{6} = 12\sqrt{6}). Thus, the simplified form of the square root of 864 is (12\sqrt{6}).