Answer:
[tex]\boxed{ {\frac{2\sqrt{7} - \sqrt{35}}{7}}}[/tex]
Step-by-step explanation:
[tex]\textsf {Given :}[/tex]
[tex]\longrightarrow \mathsf {\frac{2 - \sqrt{5}}{\sqrt{7}}}[/tex]
[tex]\textsf {Multiply numerator and denominator by reciprocal :}[/tex]
[tex]\longrightarrow \mathsf {\frac{2 - \sqrt{5}}{\sqrt{7}}\times \frac{\sqrt{7}}{\sqrt{7}}}[/tex]
[tex]\longrightarrow \mathsf {\frac{2\sqrt{7} - \sqrt{35}}{7}}}[/tex]
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Answers & Comments
Answer:
[tex]\boxed{ {\frac{2\sqrt{7} - \sqrt{35}}{7}}}[/tex]
Step-by-step explanation:
[tex]\textsf {Given :}[/tex]
[tex]\longrightarrow \mathsf {\frac{2 - \sqrt{5}}{\sqrt{7}}}[/tex]
[tex]\textsf {Multiply numerator and denominator by reciprocal :}[/tex]
[tex]\longrightarrow \mathsf {\frac{2 - \sqrt{5}}{\sqrt{7}}\times \frac{\sqrt{7}}{\sqrt{7}}}[/tex]
[tex]\longrightarrow \mathsf {\frac{2\sqrt{7} - \sqrt{35}}{7}}}[/tex]
[tex] = \frac{2 \sqrt{5} }{ \sqrt{7} } \times \frac{ - \sqrt{7} }{ - \sqrt{7} } \\ \\ = \frac{ - 2 \sqrt{35} }{ - 7} \\ \\ = \frac{2 \sqrt{35} }{7} [/tex]