Question

value of √x+1/√x on x= 2-√3​

Answer 1

Answer:

4

Step-by-step explanation:

x+\frac{1}{x}

Since x=2+\sqrt{3}

To find \frac{1}{x}

x=2+\sqrt{3}

\frac{1}{x} =\frac{1}{2 +\sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3}}

\frac{1}{x} =\frac{2 -\sqrt{3} }{(2) {}^{2} - ( \sqrt{3}) {}^{2} }

\frac{1}{x}= \frac{2 -\sqrt{3}}{4 - 3}

\frac{1}{x}= 2- \sqrt{ 3}

Substitute the values  

x+\frac{1}{x}

2+\sqrt{3}+2- \sqrt{ 3}

4

Hence the value of x+\frac{1}{x} is 4