Question

2+3
1. Rationalize the denominator:2+√3/4-√3​

Answer 1

Step-by-step explanation:

2+root3/4-root3x4+ 4+root3/4+root3

2(4+root3)+root3(4+root3)/16-9

8+2root3+4root3+3/8

8+6root3+3/8

11+6root3/8

Answer 2

Step-by-step explanation:

2+√3 /4-√4

multiply with (4+√3) in both numerator and denominator

(2+√3)(4+√3) /(4-√3)(4+√3)

8 +2√3 +4√3 + 3 / 4² -(√3)²         [∴(a-b)(a+b)=a²-b²]

11+ 6√3/ 16 - 3

11+ 6√3 / 13  answer

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