Math  /  Numbers & Operations

Question(1+3)(13)(1+\sqrt{3})(1-\sqrt{3})
1. simplify 11+3 to 3 s.f. given that 3×1.732\frac{1}{1+\sqrt{3}} \text { to } 3 \text { s.f. given that } \sqrt{3} \times 1.732

Studdy Solution
Combine the results to approximate 12+32-\frac{1}{2} + \frac{\sqrt{3}}{2} to 3 significant figures.
12=0.5 -\frac{1}{2} = -0.5 0.5+0.8660.366 -0.5 + 0.866 \approx 0.366
The simplified and approximated value of 11+3\frac{1}{1+\sqrt{3}} to 3 significant figures is 0.3660.366.

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