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Mathematics

23×382\sqrt{3} \times 3\sqrt{8} is :

  1. rational

  2. irrational

  3. neither rational nor irrational

  4. 12 ×5\times \sqrt{5}

Rational Irrational Nos

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Answer

Given,

23×386246×2612×612×2.449…..29.393…….\Rightarrow 2\sqrt{3} \times 3\sqrt{8} \\[1em] \Rightarrow 6\sqrt{24} \\[1em] \Rightarrow 6 \times 2\sqrt{6} \\[1em] \Rightarrow 12 \times \sqrt{6} \\[1em] \Rightarrow 12 \times 2.449….. \\[1em] \Rightarrow 29.393…….

which is an irrational number.

Hence, Option 2 is the correct option.

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