Simplify the radical expression. Show all your steps.
363−−−√−327−−√
(2 points)
To simplify the radical expression \(\sqrt{363} - \sqrt{327}\), we need to find the factors of each number and see if there are any perfect squares.
\(\sqrt{363} = \sqrt{121 \times 3} = \sqrt{11^2} \times \sqrt{3} = 11\sqrt{3}\)
\(\sqrt{327} = \sqrt{3 \times 109} = \sqrt{3} \times \sqrt{109}\)
Therefore, \(\sqrt{363} - \sqrt{327} = 11\sqrt{3} - \sqrt{3} = 10\sqrt{3}\).