Final answer:
To multiply (√-120)(√225), simplify the square roots individually. The expression simplifies to 30i√30.
Step-by-step explanation:
To multiply (√-120)(√225), we can simplify the square roots individually first. The square root of -120 can be written as √(-1) * 120. Simplifying further, the square root of -1 is denoted by i which represents an imaginary unit. Therefore, the expression becomes i√120 * √225. Finally, simplifying √120, we get i√(4*30) * 15. Simplifying further, we get i * 2√30 * 15 which equals 30i√30.
Learn more about Simplifying square roots