Question

If 2 + root 3/2 - root 3 = a + b root 3, find the value of a and b

Answer 1

2+√3/2-√3=a+b√3

=(2+√3)*(2+√3)/(2-√3)*(2+√3)=a+b√3

=(4+3+4√3)/(4-3)=a+b√3

=7+4√3=a+b√3

(comparing both the sides ,we get)

a= 7

b=4

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Answer 2

Answer:

a = 7

b = 4

Step-by-step explanation:

rationalise the denominator of LHS by multiplying it with 2 + √3. and proceed u will get the ans.