find the value of a and b if 4root3+5root2/4root3+3root2) = a+broot6
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4√3 + 5√2 / 4√3 + 3√2 X 4√3 - 3√2 / 4√3 -3√2 = a + b√6
48 - 12√6 + 15√6 - 30 / (4√3)² - (3√2)² = a + b√6
18 + 3√6 / 48 - 18 = a + b√6
18 + 3√6 / 30 = a + b√6
18/30 + 3√6/30 = a + b√6
3/5 + √6/10 = a + b√6
a = 3/5 and b = 1/10
48 - 12√6 + 15√6 - 30 / (4√3)² - (3√2)² = a + b√6
18 + 3√6 / 48 - 18 = a + b√6
18 + 3√6 / 30 = a + b√6
18/30 + 3√6/30 = a + b√6
3/5 + √6/10 = a + b√6
a = 3/5 and b = 1/10
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