√3-1\√3+1 = a+b√3. find the value of a and b
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Given :-
To find :- Values of a and b
Solution :-
Consider Left Hand Side of the equation
First Rationalise the denominator
The rationalising factor of √3 + 1 is √3 - 1. So, multiply both numerator and denominator with rationalising factor
[Since (x + y)(x - y) = x² - y² Here x = √3 , y = 1]
[Since (x - y)² = x² - 2xy + y² Here x = √3 , y = 1]
It can be written as
Now consider
Comparing on both sides
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