Question

If f(x) = x + (1/x), then f{(7+4√3) ^1/2} = ?

Answer 1

Answer:

4

Step-by-step explanation:

$A^{\frac{1}{2} } =\sqrt{A}$

$f(\sqrt{7+4\sqrt{3}})\\=f(\sqrt{(2+\sqrt{3})^2 } )\\=f(2+\sqrt{3} )$

$2+\sqrt{3} + \frac{1}{2+\sqrt{3}} \\=2+\sqrt{3}+2-\sqrt{3} \\=4$

∴4

Answer 2

Answer:

Please check the attached image for

Step-by-step explanation: