Math, asked by sowmiya261, 8 months ago

rationalise : 1/ root5 - root 4​

Answers

Answered by mysticd
4

 \frac{ 1}{(\sqrt{5} - \sqrt{4})} \\= \frac{ (\sqrt{5} + \sqrt{4})}{(\sqrt{5} - \sqrt{4})( \sqrt{5} + \sqrt{4})} \\= \frac{ (\sqrt{5} + \sqrt{4})}{(\sqrt{5})^{2} - (\sqrt{4})^{2}} \\= \frac{ (\sqrt{5} + \sqrt{4})}{5  -4} \\=  \frac{ (\sqrt{5} + \sqrt{4})}{1} \\= \sqrt{5} + \sqrt{4}

Therefore.,

 \red{\frac{ 1}{(\sqrt{5} - \sqrt{4})}}\\\green { = </p><p>\sqrt{5} + \sqrt{4}}

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Answered by srijita689
6

Step-by-step explanation:

Hello ! mates here's Ur ans..

Given;

1/5-4 × 5+4/5+4.

= 5+4/(5)² -(4)²

= 5 + 4 / 5-4

= 5+4/1= 5+4(ans)..

hope, it's helpful..thnx.. follow.. Mark as brainlist..

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