rationalise:-
[tex] \frac{2 + \sqrt{3} }{2 - \sqrt{3} } [/tex]
Share
rationalise:-
[tex] \frac{2 + \sqrt{3} }{2 - \sqrt{3} } [/tex]
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
[tex]\green{\bold{\underline{ ☆ UPSC-ASPIRANT ☆} }}[/tex]
[tex]\red{\bold{\underline{\underline{QUESTION:-}}}}[/tex]
Q:-rationalise
[tex] \frac{ 2 + \sqrt{3} }{2 - \sqrt{3} } [/tex]
[tex]\huge\tt\underline\blue{ANSWER }[/tex]
------>>>>Here is your answer<<<<--------
[tex]⇨ \frac{2 + \sqrt{3} }{2 - \sqrt{3} } [/tex]
[tex]⇨ \frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } [/tex]
[tex]⇨ \frac{ ({2 + \sqrt{3} )}^{2} }{ {(2)}^{2} - {( \sqrt{3} )}^{2} } [/tex]
[tex]⇨ \frac{ {(2)}^{2} + {( \sqrt{3} )}^{2} + 2(2)( \sqrt{3} )}{4 - 3} [/tex]
[tex]⇨ \frac{4 + 3 + 4 \sqrt{3} }{1} [/tex]
[tex]⇨7 + 4 \sqrt{3} ✓[/tex]
HOPE IT HELPS YOU..
_____________________
Thankyou:)