Question

What is the most simplified form of this

You can zoom the picture:) also please don't put anything random I really need the help!​

Answer 1

14

Explanation:

Note: i^2 = -1

4 + 2i(sqrt10) - 2i(sqrt10) - i^2(sqrt(100))

= 4 - (-10)

= 4 + 10

= 14

Answer 2

Explanation:

Remember the difference of squares:

a² - b² = (a + b)(a - b)

Therefore (2 + i√10)(2 + i√10)

= 2² - (i√10)²

= 4 - (10i²)

= 4 - (10)(-1) because i² = -1

= 4 + 10

= 14.