Question

$2 + \sqrt{3} \div 2 - \sqrt{3 } + \sqrt{3} \div \sqrt{3}$
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Answer 1

Answer:

4(2+√3)

Step-by-step explanation:

(2+√3)/(2-√3) + √3/√3

By Rationalization,

=> [(2+√3)(2+√3)]/[(2-√3)(2+√3) + 1

=> (2+√3)²/2²-√3²

=> (2+√3)²/(2+√3)(2-√3)

• (a²-b²) = (a+b)(a-b)
• (a+b)² = a² + b² + 2ab

=> 4 + 3 + 4√3 + 1

=> 8 + 4√3

=> 4(2+√3)

Answer 2

Answer:

Refer to the attachment !!

Note :

Identity used

• $a^2 - b^2 = (a+b)(a-b)$
• ${(a+b)}^{2} = a^2 + b^2 + 2ab$