Question

rationalize the denominator 2√7/√5+√3

Answer 1

Step-by-step explanation:

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Answer 2

$rationalize \: the \: denominator \: \frac{ 2√7 }{√5-√3 } \: \: \: ?\\ \\a ns. \: \: \frac{ 2√7 }{√5 +√3 } \: \: \: \: \times \: \: \: \: \: \: \frac{√5 -√3} {√5 - √3} \\ \\ = \frac{2√7 \times( √5 - √3) }{ √5 - √3 } \\ \\ = \frac{2√7 \times √5 -√3 }{5 - 3} \\ \\ = \frac{2√7 \times √5 - √3 }{2} \\ \\ = \frac{2√35 - √21}{2} \\ \\ we \: cut \: the \: common \: number \: 2 \\ \\ = √35 -√21$