Question

Find the value of a and b 7+3root5/3+ root5 - 7-3root5/3+root5 =a+broot5

Answer 1

7+
$7 + 3 \sqrt{5 \div 3 +} + \sqrt{5} - 7 - 3 \sqrt{5 \div 3} + \sqrt{5 } = a + b \sqrt{5}$
$6 \sqrt{5 \div 3} + 2 \sqrt{5} = a + b \sqrt{5}$
$(a = 6 \sqrt{5 \div 3}) \: \: \: (b = 2)$