Question

now can u see please solve this step by step quickly ​

Answer 1

Answer:

no u have to do it

Step-by-step explanation:

I believe you can do it

Answer 2

Answer:

$\sqrt{2(2 + \sqrt{3}}$

Step-by-step explanation:

Given = $\sqrt{\frac{2(\sqrt{3} -1)}{\sqrt{3} +1} }$

Multiplying both numerator and denominator by $($$\sqrt{\sqrt{3} -1 }$$)$

⇒ $\sqrt{\frac{2(\sqrt{3} -1)^{2} }{(\sqrt{3} +1)(\sqrt{3} - 1) } }$      

We know that $(a+b)(a-b) = a^{2} - b^{2}$ and that $(a-b)^{2} = a^{2} + b^{2} - 2ab$    

⇒ $\sqrt{\frac{2(3 + 1 - 2\sqrt{3})}{(3 - 1)}$                      

⇒ $\sqrt{\frac{2(4 + 2\sqrt{3}) }{2} }$

⇒ $\sqrt{4 + 2\sqrt{3} }$

⇒ $\sqrt{2(2 + \sqrt{3}}$