The correct option is B 2√(3)/11√(12/121) = √(12)/√(121) = √(2^2 × 3)/11 = √(2^2)×√(3)/11 = 2√(3)/11 ...

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Solving a Quadratic Equation by Completion of Squares Method

Simplify √12/...

Question

$Simplify \sqrt{\frac{12}{121}}$

\frac{2 \sqrt{3}}{11}

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\frac{3 \sqrt{2}}{11}

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\frac{5 \sqrt{2}}{11}

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None of these

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Solution

The correct option is A $\frac{2 \sqrt{3}}{11}$
$\sqrt{\frac{12}{121}} = \frac{\sqrt{12}}{\sqrt{121}}$
$= \frac{\sqrt{2^{2} \times 3}}{11}$
$= \frac{\sqrt{2^{2}} \times \sqrt{3}}{11}$
$= \frac{2 \sqrt{3}}{11}$

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{⎛ ⎜ ⎝ \frac{12^{\frac{1}{5}}}{22^{\frac{1}{5}}} ⎞ ⎟ ⎠}^{\frac{5}{2}}

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