Rationalize the denominator: (1)/(sqrt(11))

April 21, 2026Mathematics

ScanSolve AI Answer

April 21, 2026

Answer

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

To leave the answer in surd form, we need to rationalize the denominator.

Step 1: Write the given expression. $\frac{1}{\sqrt{11}}$

Step 2: Multiply the numerator and the denominator by $\sqrt{11}$ to remove the radical from the denominator. $\frac{1}{\sqrt{11}} \times \frac{\sqrt{11}}{\sqrt{11}}$

Step 3: Perform the multiplication. $\frac{1 \times \sqrt{11}}{\sqrt{11} \times \sqrt{11}} = \frac{\sqrt{11}}{11}$

The simplified expression in surd form is $\frac{\sqrt{11}}{11}$ .

$\frac{\sqrt{11}{11}}$ That's 2 down. 3 left today — send the next one.

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Quick Answer

To leave the answer in surd form, we need to rationalize the denominator. Step 1: Write the given expression.

Asked on April 21, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 21, 2026

To leave the answer in surd form, we need to rationalize the denominator. Step 1: Write the given expression. (1)/(sqrt(11)) Step 2: Multiply the numerator and the denominator by sqrt(11) to remove the radical from the denominator. (1)/(sqrt(11)) × sqrt(11)sqrt(11) Step 3: Perform the multiplication. 1 × sqrt(11)sqrt(11) × sqrt(11) = sqrt(11)11 The simplified expression in surd form is sqrt(11)11. sqrt(11)11 That's 2 down. 3 left today — send the next one.