# Evaluate 3 square root of -16+2 square root of -49

3-16+2-49
Simplify each term.
Rewrite -16 as -1(16).
3-1(16)+2-49
Rewrite -1(16) as -1⋅16.
3(-1⋅16)+2-49
Rewrite -1 as i.
3(i⋅16)+2-49
Rewrite 16 as 42.
3(i⋅42)+2-49
Pull terms out from under the radical, assuming positive real numbers.
3(i⋅4)+2-49
Move 4 to the left of i.
3(4⋅i)+2-49
Multiply 4 by 3.
12i+2-49
Rewrite -49 as -1(49).
12i+2-1(49)
Rewrite -1(49) as -1⋅49.
12i+2(-1⋅49)
Rewrite -1 as i.
12i+2(i⋅49)
Rewrite 49 as 72.
12i+2(i⋅72)
Pull terms out from under the radical, assuming positive real numbers.
12i+2(i⋅7)
Move 7 to the left of i.
12i+2(7⋅i)
Multiply 7 by 2.
12i+14i
12i+14i