Evaluate
-\frac{\sqrt{14}}{8}+1\approx 0.532292827
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\frac{24-3\sqrt{14}}{24}
Factor 126=3^{2}\times 14. Rewrite the square root of the product \sqrt{3^{2}\times 14} as the product of square roots \sqrt{3^{2}}\sqrt{14}. Take the square root of 3^{2}.
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