Math  /  Algebra

QuestionRationalize the denominator. 8112\frac{\sqrt{8}}{11-\sqrt{2}}

Studdy Solution
Combine the results to form the rationalized expression:
118+4119\frac{11\sqrt{8} + 4}{119}
Since 8=22\sqrt{8} = 2\sqrt{2}, we can further simplify:
118=11×22=22211\sqrt{8} = 11 \times 2\sqrt{2} = 22\sqrt{2}
Thus, the expression becomes:
222+4119\frac{22\sqrt{2} + 4}{119}
The rationalized expression is:
222+4119\frac{22\sqrt{2} + 4}{119}

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