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Answer:
a = 29/46
b = 9/46
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Answer:
5+2√3/7+√3 = a - b√3
So first we will rationalise the denominator..
=> (5+2√3)(7-√3)/(7+√3)(7-√3) = a - b√3
=> (35-5√3+ 14√3-6)/(49-3) = a - b√3
=> (29+9√3)/46 = a - b√3
=> 29/46 + 9√3/46 = a - b√3
=> (29/46) - (-9√3/46) = a - b√3
by comparing both the sides, we see that
29/46 , which is a rational number sits in the place of 'a' and (-9/46) which is a rational numbers sits in the place of 'b'
hence ..
a = 29/46
b = -9/46
hope it helped :)
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