Question

2+√3/2-√3=a+b√3 find the value of a,b?​

Answer 1

Step-by-step explanation:

2 + √3/ 2 - √3

= 2 + √3/ 2 - √3 × 2 + √3 / 2+√3

= (2 + √3)^2/ (2)^2 - (√3)^2

= (4 + 4√3 + 3)/ 4 - 3

= ( 7 + 4√3 )/1

=7 + 4√3

Now equating,

a + b√3 = 7 + 4√3

a = 7 and b = 4 Answer

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