Solve frac{2sqrt{12}}{sqrt{48}}

$$\frac { 2 \sqrt { 12 } } { \sqrt { 48 } }$$

Evaluate

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Solution Steps

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

$$\frac{2\times 2\sqrt{3}}{\sqrt{48}}$$

Multiply 2 and 2 to get 4.

$$\frac{4\sqrt{3}}{\sqrt{48}}$$

Factor 48=4^{2}\times 3. Rewrite the square root of the product \sqrt{4^{2}\times 3} as the product of square roots \sqrt{4^{2}}\sqrt{3}. Take the square root of 4^{2}.

$$\frac{4\sqrt{3}}{4\sqrt{3}}$$

Cancel out 4\sqrt{3} in both numerator and denominator.

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Factor

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