Rewriting a number using i

The video tutorial explains how to simplify a mathematical expression involving imaginary numbers. It begins by introducing the imaginary unit 'I' and the property of square roots of products. The instructor demonstrates how to break down an expression into simpler parts using these properties. The final result is presented as the product of the square root of 7 and the imaginary unit 'I', with a caution on proper notation to avoid confusion.

What is the rule for rewriting the square root of a product?

How can the square root of -1 be represented in terms of imaginary numbers?

Why can't sqrt(7) be simplified further?

What should you be careful about when writing the final answer involving sqrt(7) and I?

What is the simplified form of the expression involving sqrt(7) and sqrt(-1)?