Question

rationalise the denominator 5/√13 - √8 ​

Answer 1

Step-by-step explanation:

5.

√13-√8

5. (√13+√8)

(√13-√8)(√13+√8)

5(√13+√8)

(√13)²-(√8)²

5(√13+√8)

13-8

5(√13+√8)

5

(√13+√8)

Answer 2

$\bold {\underline \blue{QUESTION : - }}$

Rationalise the denominator:-

$\orange \leadsto \frac{5}{ \sqrt{13} - \sqrt{8} }$

$\bold \blue{ \underline{ANSWER: - }}$

$\orange\leadsto \frac{5}{ \sqrt{13 - \sqrt{8} } }$

$\orange \leadsto \frac{5 \sqrt{13 + \sqrt{8} } }{ \sqrt{(13 - \sqrt{8})( \sqrt{13 + \sqrt{8} } } }$

$\orange\leadsto \frac{5 (\sqrt{13 + \sqrt{8}) } }{( \sqrt{ {13}^{2}) - ( \sqrt{ {8}^{2}} ) } }$

$\orange \leadsto \frac{5( \sqrt{13 + \sqrt{8)} } }{13 - 8}$

$\orange \leadsto \frac{5( \sqrt{13 + \sqrt{8)} } }{5}$

$\orange \leadsto( \sqrt{13} + \sqrt{8} )$

$\fbox \orange{❧HENCE \: SOLVED}$