The correct option is A True We know that √(a)×√(b)=√(ab) So,√(2)×√(3)=√(2 × 3) = √(6) ...

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Exponential Representation for Irrational Numbers

√2×√3=√6

Question

$\sqrt[n]{2} \times \sqrt[n]{3} = \sqrt[n]{6}$

True

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False

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Solution

The correct option is A
True

We know that $\sqrt[n]{a} \times \sqrt[n]{b} = \sqrt[n]{a b}$

$So, \sqrt[n]{2} \times \sqrt[n]{3} = \sqrt[n]{2 \times 3} = \sqrt[n]{6}$

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