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Show that reciprocal of 3+2√2 is irrational |
| Answer» let 1/3+3√2 be a rational number1/3+3√2 = a/b [ where b is not equal to zero]Rationalize the denominator,1/3+3√2= 3-3√2 / 3-3√2= 3-3√2/ (3)² - (3√2)²-(3-3√2)/ 9 = a/b-3 + 3√2 = 9a/b3√2 = 9a+ 3b/b√2 = 9a + 3b/3bwe know that √2 is irrationalIrrational is not equal to rational .therefore, 1/3+3√2 is irrational Hope that my answer helps... | |