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The rationalizing factor of \sqrt{23} is $°$ $Options^{°}$ $0$ A 24 23 C \sqrt{23} D None of these

Using the \emph{removal of first derivative} method, the differential equation \( \frac{d^{2}y} $\left(d\times n$ $\left(2\right)\right)+P|ffac\left(dy\right)\left(dx\right)+Qy=F$ $dx\right)+Qy=RN\right)$ is transformed as \). For, the differential equation \frac{d^{2}y} $\left(d^{n}\left(2\right)y\right)$ $dx$ $\left(2\right)+2x$ $\left(0C\left(dy\right)\left(dx\right)+\left(x$ $2+1\right)y=\times n3+3x\right)$ the value of $\left(11\right)$

Solve. $4p^{2}-4p=1$ $O\left(1+sqr2\right)/2,\left(1.sqrt2\right)/2$ $O$ $\left(4+-sqrt32\right)/8$ $O$ $\left(4+.4sqr2\right)/8$ $0$ Prime

$x$ $45^{°}$ $6$ Find $x$ $O6$ $\square 6sq\pi \left(2\right)$ sqrt $\left(2\right)$ $○12sq$ $○3s$ sqrt $\left(2\right)$

$2\right)$ Which of the following is rational no. * $○$ $s9rt\left(25\right)$ $○$ $s9rt\left(101\right)$ $○$ O $s9r+\left(152\right)$

If $\left(f\left($ $t\right)\right)=F\left(s\right)=11\left(\left(s+1\right)^{n}$ $\left(3/2\right)\right)$ then find $f\left(t\right)$ $○$ O $2e^{n}$ $\left(t\right)$ sqrt $\left(+/\pi \right)$ $○$ $e^{n}\left(1\right)$ sqrt $\left(11\pi \right)$ $○$ O $2e^{n}\left(-t\right)$ sqrt $\left(t1\pi \right)$ $○$ O $2e^{n}\left(t\right)$ $s9r$ $\left(11\pi \right)$