Question

Simplify the expression. write your answer as a complex number. 8 times the square root of 49 minus the square root of negative 36

Answer 1

The expression "8 times the square root of 49 minus the square root of negative 36" simplifies to the complex number 56 - 6i.

Step-by-step explanation:

To simplify the expression and write the answer as a complex number, let's break down the original problem step by step:

8 × √49 - √(-36)

1. First, simplify √49 which is 7.
2. Then, multiply 7 by 8 to get 56.
3. The square root of a negative number is an imaginary number represented by 'i', so √(-36) is 6i (since √36 is 6).
4. Combining these two results, we get 56 - 6i.

This is the expression simplified as a complex number.