How do I solve 8+√ 2 / 8-√ 2 ?
I know I need to change the denominator to a positive use the foil method on both the numerator and denominator but then I get confused from there. Or if I need to do it a different way please let me know.
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8+√ 2 / 8-√ 2
= (8+√ 2 / 8-√ 2) × (8+√ 2 / 8+√ 2)
= (8+2√2)² / {8²-(2√2)²}
= {8²+2.8.2√2 +(2√2)²} / (64-2×2)
= (64+32√2+2×2)/(64-4)
= (64+32√2+4)/60
= (68+32√2)/60
= {4(17+8√2)} /60
= (17+8√2)/15 Answer
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