solve it clearly and completely.
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hope it will help you.....
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Step-by-step explanation:
Given -
5 + 2√3/7 + 4√3 = a + b√3
To Find -
Value of a and b
Now,
Rationalising the denominator :-
5 + 2√3/7 + 4√3 × 7 - 4√3/7 - 4√3 = a + b√3
» 35 - 20√3 + 14√3 - 24/49 - 48 = a + b√3
» 11 - 6√3/1 = a + b√3
» 11 - 6√3 = a + b√3
Now,
Comparing 11 - 6√3 and a + b√3, we get :
11 - 6√3 = a + b√3
a = 11 and b = -6
Hence
The value of a is 11 and b is -6
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