# Simplify 4 square root of -49+3 square root of -4

4-49+3-4
Simplify each term.
Rewrite -49 as -1(49).
4-1(49)+3-4
Rewrite -1(49) as -1⋅49.
4(-1⋅49)+3-4
Rewrite -1 as i.
4(i⋅49)+3-4
Rewrite 49 as 72.
4(i⋅72)+3-4
Pull terms out from under the radical, assuming positive real numbers.
4(i⋅7)+3-4
Move 7 to the left of i.
4(7⋅i)+3-4
Multiply 7 by 4.
28i+3-4
Rewrite -4 as -1(4).
28i+3-1(4)
Rewrite -1(4) as -1⋅4.
28i+3(-1⋅4)
Rewrite -1 as i.
28i+3(i⋅4)
Rewrite 4 as 22.
28i+3(i⋅22)
Pull terms out from under the radical, assuming positive real numbers.
28i+3(i⋅2)
Move 2 to the left of i.
28i+3(2⋅i)
Multiply 2 by 3.
28i+6i
28i+6i
34i
Simplify 4 square root of -49+3 square root of -4

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