Final answer:
The question appears to involve complex number multiplication and finding square roots, but there may be a typo in the expression. Proper multiplication of complex numbers involves calculating magnitude and angle for each number and then applying the properties of exponents to simplify.
Step-by-step explanation:
The question asks to determine the roots of the given complex numbers by calculating the product of √(5+ j²)(3<20°(6-j²)). To solve for the roots, we would normally calculate the magnitude and angle of each complex number and then multiply them accordingly. The magnitude is calculated using the square root of the sum of the squares of the real and imaginary components, while the angle (also known as the argument) can be determined using trigonometry. However, it seems there may be a typo or misunderstanding in the given expression, as j² (the square of the imaginary unit) is -1, so it is not clear how it applies within the given complex numbers.
If the equation were correctly provided, we would also utilize properties of exponents to simplify the equation, such as knowing that multiplying powers with the same base allows us to add the exponents, according to Eq. A.8. Additionally, the concept that x² = √x (the square root of x) can be used to assist in simplifying the roots of the numbers.