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# rationalize

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Simplify $\frac{\sqrt{2}}{\sqrt{5}} \cdot \frac{\sqrt{3}}{\sqrt{7}} \cdot \frac{\sqrt{4}}{\sqrt{9}}$ and rationalize the denominator of the resulting fraction.

Feb 21, 2021

#1
+944
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$$\frac{\sqrt{2} \cdot \sqrt{3} \cdot \sqrt{4}}{\sqrt{5} \cdot \sqrt{7} \cdot \sqrt{9}}$$

$$\frac{2 \sqrt{6}}{3 \sqrt{35}} \cdot \frac{\sqrt{35}}{\sqrt{35}} = \frac{2\sqrt{210}}{105}$$

This is all for now, I'm going to bed.

Feb 21, 2021
edited by CubeyThePenguin  Feb 21, 2021