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√12 = √4 * √3 = 2√3
√75 = √25*√3 = 5√3

so 4√12 + √75 = 4*2√3 + 5√3  = 13√3  answer

Answer:  13√3.


Step-by-step explanation: Given radical expression 4√12 + √75.

Let us simplify each of the radical separately first.

√12 = √(2×2×3) = 2√3

Therefore, 4√12 = 4 × 2√3 = 8√3.

√75 = √(3×5×5) = 5√3

Therefore 4√12 + √75  => 8√3 + 5√3.

Adding like radicals, we get

8√3 + 5√3 = 13√3.

Therefore, 4√12 + √75 = 13√3.

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