rationalise 7+3√5 ÷ 7-3√5
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Answered by
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...... :-)
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
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 :))))
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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