Question

rationalize the denominator of 5/√11+4​

Answer 1

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$\frac{5}{ \sqrt{11 + 4} } \\ \\ = \frac{5 \times( \sqrt{11} - 4) }{ \sqrt{11 } + 4 \times \sqrt{11 - 4} } \\ \\ = \frac{ 5 \sqrt{11} - 20 }{( { \sqrt{11} )}^{2} - {4}^{2} } \\ \\ = \frac{5 \sqrt{11 } - 20 }{11 - 16} \\ \\ = \frac{5 \sqrt{11} - 20}{ - 5} \\ \\ = \frac{ - 5 \sqrt{11} + 20}{5} ans..$

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