Final answer:
To simplify the radical expression 5√(-9) * 5√(27), the first term is undefined and the second term simplifies to 15√3.
Step-by-step explanation:
To simplify the radical expression 5√(-9) * 5√(27), we can simplify each radical separately and then multiply the results. Simplifying 5√(-9), we know that the square root of a negative number is not a real number, so this expression is undefined.
Next, let's simplify 5√(27). The square root of 27 can be simplified as the square root of 9 times the square root of 3. The square root of 9 is 3, so the expression becomes 5*3√3 = 15√3.
Since 5√(-9) is undefined and 5√(27) simplifies to 15√3, the final simplified expression is undefined.