Question

Rationalize the denominator : 7 +3 root 5 upon 7 +4 root 5

Answer 1

Hey dear!

Here is yr answers.....


$= > \frac{7 + 3 \sqrt{5} }{7 + 4 \sqrt{5} } \\ \\ = > \frac{7 + 3 \sqrt{5} }{7 + 4 \sqrt{5} } \times \frac{7 - 4 \sqrt{5} }{7 - 4 \sqrt{5} } \\ \\ = > \frac{49 - 28 \sqrt{5} + 21 \sqrt{5} - 60 }{49 - 80} \\ \\ = > \frac{ - 11 - 7 \sqrt{5} }{ - 31} \\ \\ = > \frac{ - (11 + 7 \sqrt{5}) }{ - (31)} \\ \\ = > \frac{11 + 7 \sqrt{5} }{31}$

Hope it hlpz...

Answer 2

Heya !!!





7+ 3✓5 / 7 + 4✓5




Rationalizing the denominator 7 + 4✓5



=> 7 + 3✓5 / 7 + 4✓5 × 7 - 4✓5 / 7 - 4✓5





=> ( 7 + 3✓5 ) ( 7 - 4✓5) / ( 7 + 4✓5 )( 7-4✓5)






=> 7 ( 7 - 4✓5) + 3✓5 ( 7-4✓5) / (7)² - (4✓5)²





=> 49 - 28✓5 + 21✓5 - 60 / 49 - 80




=> - 11 - 7✓5 / -31







=> -11/-31 - 7✓5/-31








=> 11/31 + 7✓5/31






HOPE IT WILL HELP YOU....... :-)