To solve the expression \( \sqrt[4]{0.21 \times 27.34 \div 52.18 \times 0.0726} \), follow these steps:
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Calculate \( 0.21 \times 27.34 \): \[ 0.21 \times 27.34 \approx 5.7404 \]
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Divide that result by \( 52.18 \): \[ 5.7404 \div 52.18 \approx 0.109 \]
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Multiply by \( 0.0726 \): \[ 0.109 \times 0.0726 \approx 0.0079 \]
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Now, find the fourth root of \( 0.0079 \): \[ \sqrt[4]{0.0079} \approx 0.293 \]
So, the final answer is approximately \( 0.293 \).