To simplify \( 4\sqrt{3} \times 11\sqrt{4} \), we can first break it down step by step:
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Calculate \( \sqrt{4} \): \[ \sqrt{4} = 2 \]
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Now substitute \( \sqrt{4} \) with \( 2 \): \[ 4\sqrt{3} \times 11\sqrt{4} = 4\sqrt{3} \times 11 \times 2 \]
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Multiply \( 11 \times 2 \): \[ 11 \times 2 = 22 \]
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Now the expression is: \[ 4\sqrt{3} \times 22 \]
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Finally, multiply \( 4 \times 22 \): \[ 4 \times 22 = 88 \]
Thus, the final result is: \[ 88\sqrt{3} \]