Question

If both a &b are rational number, find the values of a and b in the following :-

5+ √3 / 7-4 √4 = a+√3 b

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Answer 1

Step-by-step explanation:

$5 + \frac{ \sqrt{3} }{7} - 4 \sqrt{4} = a + \sqrt{3} b$

${ \frac{35 + \sqrt{3} - 28 \sqrt{4} }{7} = a + \sqrt{3} b }$

$\frac{35 + \sqrt{3} -(28 \times 2) }{7} = \frac{35 - 56 + \sqrt{3} }{7} = \frac{ - 21 + \sqrt{3} }{7}$

$\frac{ - 21}{7} + \frac{ \sqrt{3} }{7} = - 3 + \frac{1}{7} \sqrt{3 } = a + \sqrt{3} b$

$therefore \: a = - 3 \: \: b = \frac{1}{7}$

Answer 2

Answer:

a=-3,b=1/7

Step-by-step explanation:

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