Math, asked by srividyapidaparthy10, 11 months ago

rationalize the denominator 2/√7+√5

Answers

Answered by mohammadnomanansari7
16

Answer:multiply numerator and denominator with √7-√5.

Then u will get √7-√5 as your answer

Step-by-step explanation:

Answered by brainlysme15
2

After rationalizing we get  √7 - √5

Given equation is,

        \frac{2}{\sqrt7+\sqrt5}

Multiplying and Dividing the given expression by \sqrt7-\sqrt5

\frac{2}{\sqrt7+\sqrt5}  =  \frac{2}{\sqrt7+\sqrt5} × \frac{\sqrt7-\sqrt5}{\sqrt7-\sqrt5}

           =  \frac{2(\sqrt7-\sqrt5)}{7-5}

cancelling 2 from numerator and denominator

           =  \frac{2(\sqrt7-\sqrt5)}{2}

           =  √7 - √5

    \frac{2}{\sqrt7+\sqrt5}  =  √7 - √5   is the solution.

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