If I had the surd: 4+ √5 ------ 3+ √2 I could work that out as: 12 - 4 √2 + 3 √5 - √10 ------------------------- 7 But If the surd had a number in front of one, e.g: 4 + 4 √5 -------- 3 + √2 How would that change it?
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Originally Posted by db5vry If I had the surd: 4+ √5 ------ 3+ √2 I could work that out as: 12 - 4 √2 + 3 √5 - √10 ------------------------- 7 But If the surd had a number in front of one, e.g: 4 + 4 √5 -------- 3 + √2 How would that change it? The numerator would be $\displaystyle (4+4\sqrt{5})(3-\sqrt{2})=12+12\sqrt{5}-4\sqrt{2}-4\sqrt{10}$ The denominator wouldn't change.
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