Math, asked by khuntkrish44, 9 months ago

rationalize denominator 7 upon 5 root 3- 5 root 2 ​

Answers

Answered by Anonymous
20

\green{\bold{\underline{ ☆ UPSC-ASPIRANT ☆} }}

\red{\bold{\underline{\underline{QUESTION:-}}}}

To Rationalise :-

 \frac{7}{5 \sqrt{3}  - 5 \sqrt{2} }

\huge\bigstar\huge\tt\underline\red{ᴀɴsᴡᴇʀ }\bigstar

------>>>>Here is your answer<<<<--------

➤ \frac{7}{5 \sqrt{3} - 5 \sqrt{2}  }

➤ \frac{7}{5 \sqrt{3}  - 5 \sqrt{2} }  \times  \frac{5 \sqrt{3} + 5 \sqrt{2}  }{5 \sqrt{3}  + 5 \sqrt{2} }

➤ \frac{7(5( \sqrt{3}  +  \sqrt{2} )}{( {5 \sqrt{3}) }^{2}  -  {(5 \sqrt{2}) }^{2} }  =  \frac{35( \sqrt{3}  +  \sqrt{2} )}{75 - 50}

➤ \frac{35( \sqrt{3}  +  \sqrt{2} )}{25}  =  \frac{7( \sqrt{3}  +  \sqrt{ 2}) }{5}

HOPE IT HELPS YOU..

_____________________

Thankyou:)

Similar questions