Math, asked by Anonymous, 2 months ago


\red{\frac{25}{ \sqrt{40} - \sqrt{80} } }

Next step ✅ <><><><><>

 = \red {\frac{25}{2\sqrt{10} - 4 \sqrt{5} }}

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How this came yaar Anybody answer correctly. Solution I know.

Answers

Answered by 12thpáìn
285

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{\implies\sf\frac{25}{ \sqrt{40} - \sqrt{80} } }

{\implies\sf\frac{25}{ \sqrt{2 \times 2 \times 2 \times 5} - \sqrt{2 \times 2 \times 2 \times 2 \times 5} } }

{\implies\sf\frac{25}{ \sqrt{ {2}^{2}  \times 10} - \sqrt{4 \times4\times 5} } }

{\implies\sf\frac{25}{2 \sqrt{   10} - \sqrt{ {4}^{2} \times 5} } }

{\implies\sf\frac{25}{2 \sqrt{   10} - 4\sqrt{  5} } }

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In this way {\red{\frac{25}{ \sqrt{40} - \sqrt{80} } } \mathfrak{come} \sf{\red {\frac{25}{2\sqrt{10} - 4 \sqrt{5} }}}} .

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