Math, asked by rashiejain25, 1 year ago

rationalise 7+3√5 ÷ 7-3√5

Answers

Answered by Panzer786
16
Heya !!!

7 + 3✓5 / 7 -3✓5


=> 7 + 3✓5 / 7 - 3✓5 × 7 + 3✓5/ 7+3✓5




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



=> (7+3✓5)²/(7)² - (3✓5)²


=> (7)² + (3✓5)² + 2 × 7 × 3✓5 / 49 - 45


=> 49 + 45 + 42✓5/4



=> 94 + 42✓5/4


=> 2 ( 47 + 21✓5) 4



=> 47+21✓5/4




HOPE IT WILL HELP YOU...... :-)
Answered by Anonymous
2
Heya ✋

Let see your answer !!!!

7 + 3√5 ÷ 7 - 3 √5

= (7 + 3 √5) × (7 + 3√5) / (7 - 3√5) (7 + 3√5)

= (7 + 3√5)^2 / (7)^2 - (3√5)^2

= (7)^2 + (3√5)^2 + 2 × 7 × 3√5 / 49 - 45

= 49 + 45 + 42√5 / 4

= 94 + 42√5 / 4

= 94/4 + 42√5/4

= 47/2 + 21√5/2

= 47 + 21√5/2









Thanks :))))
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