Express in terms of i 1 squareroot9 squareroot45 A 3 3isqu

Express in terms of i. 1) squareroot-9 + squareroot-45 A) 3 + 3isquareroot5 B) (3 + 3squareroot5)i C)(3 - 3squareroot5)i D) 3squareroot5 + 3i

Solution

1) sqrt (-9) + sqrt (-45 )

sqrt (-9) = sqrt (-1)* sqrt 9

sqrt (-45) = sqrt (-1) * sqrt (45)

sqrt (-1) = i

so expression becomes

3i + 3i sqrt 5

( 3 + 3 sqrt 5 ) i

option b is correct