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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
√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.