Question

Simply by rationalizing denominator

7+3root5 ÷ 7-3root5​

Answer 1

Step-by-step explanation:

7+3√5÷7-3√5

(7+3√5/7-3√5)×(7+3√5/7+3√5)

(7+3√5)²/7²-(3√5)²

49+45+42√5/49-45

94+42√5/4

2(47+21√5)/4

(47+21√5)/2

Answer 2

Answer:

7+3√5 ÷ 7-3√5

Step-by-step explanation:

multiply (7+3√5) both sides

(7+3√5)(7+3√5) ÷ (7-3√5)(7+3√5)

(7+3√5)² ÷ (7)²-(3√5)²

(49+45+42√5) ÷ (49)-(45)

94+42√5 ÷ 4

2(47+21√5) ÷ 2(2)

47+21√5 ÷ 2

hope this much helps you....