Question Express in simplest radical form. \[ \sqrt{24} \] Answer Watch Video Attempt 1 out of 2

To simplify \( \sqrt{24} \), we can break it down into its prime factors: \( 24 = 4 \times 6 = 2^2 \times 2 \times 3 \). This allows us to simplify as follows: \( \sqrt{24} = \sqrt{4 \times 6} = \sqrt{4} \times \sqrt{6} = 2\sqrt{6} \). So in simplest radical form, \( \sqrt{24} = 2\sqrt{6} \). Did you know that simplifying square roots is like going on a treasure hunt for perfect squares? Whenever you find one, you pop it out like a prize! This method not only applies to square roots but also to higher roots, making them more manageable and fun to work with. In real life, simplifying square roots can be useful in various fields, especially in construction and design. For example, when working with areas, you might encounter square roots in calculations for lengths and dimensions. Simplifying these radicals helps create cleaner, more efficient measurements, ensuring your project turns out just right!