Question

if x+(1/x)=2 so what is value of √x+(1/√x)​

Answer 1

Step-by-step explanation:

$let \: \\ \sqrt{x} + \frac{1}{ \sqrt{x} } = y \\ on \: squaring \: both \: sides \\ we \: get \\ x {}^{} + \frac{1}{x} + 2 \times x \times \frac{1}{x} = y {}^{2} \\ x + \frac{1}{x} + 2 = y {}^{2} \\ since \: x + \frac{1}{x} = 2 \: we \: \: get \\ 2 + 2 = y {}^{2}$

$2 + 2 = y { }^{2} \\ y {}^{2} = 4 \\ y = + 2$