Question

please let me know the answer of 3-√5/3+√5​

Answer 1

HELLO MATE

By rationalizing denominator

3+✓5 / 3 - ✓5

=> 3 + ✓5 / 3 - ✓5 × 3 + ✓5/ 3 + ✓5

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

=> ( 3 + ✓5)² / (3)² - ( ✓5)²

=> (3)² + ( ✓5)² + 2 × 3 × ✓5 / 9 -5

=> 9 + 5 + 6✓5 / 4

=> 14 + 6✓5/4

=> 2 ( 7 + 3✓5 ) /4

=> 7 + 3✓5/2

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Answer 2

Answer:

3-√5/3+√5= 3*3-√5*√5= 9-5=4