Question

3+root7/3-root7 times 3-root7/3+root7 = a+b root7
Find the value of a and b.

Answer 1

Step-by-step explanation:

$3 + \sqrt{7 \div 2} - \sqrt{7 \times 3} - \sqrt{7 \div 3} + \sqrt{7} = a + b \sqrt{7}$

$3 + \sqrt{7} ( \sqrt{1 \div 2} - \sqrt{3} - \sqrt{1 \div 3} + 1) = a + b \sqrt{7}$

$3 + ( - .6) \sqrt{7} = a + b \sqrt{7}$

$a = 3 \: \: and \: b = - 0.6$