Question

Rationalize the denominator and simplify.

$\frac{1}{\sqrt{11}}$

Short answer

Rationalized form of the given expression is$\frac{\sqrt{11}}{11}$.

Step-by-step solution

Step 1. To determine the conjugate if present. Otherwise simply eliminate the root terms using multiplication on numerator and denominator.

$\frac{1}{\sqrt{11}}\times \frac{\sqrt{11}}{\sqrt{11}}$

Step 2. Re write the expression after multiplying.

$\frac{1}{\sqrt{11}}\times \frac{\sqrt{11}}{\sqrt{11}}=\frac{\sqrt{11}}{11}$

Step 3. Simplify the expression.

Here no further simplification is possible.

$\frac{\sqrt{11}}{11}=\frac{\sqrt{11}}{11}$