Examine whether the following numbers are rational or irrational.… - Vidyadip

Question

Examine whether the following numbers are rational or irrational. $\sqrt{7}\times\sqrt{343}$

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Answer

As, $\sqrt{7}\times\sqrt{343}$ $=\sqrt{7\times343}$ $=\sqrt{2401}$ $=49,$ which is an integer Hence, $\sqrt{7}\times\sqrt{343}$ is rational.

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