If a, b, c are positive real numbers, what is the value of √(a⁻¹b) × √(b⁻¹c)×√(c⁻¹a)?

If a, b, c are positive real numbers, what is the value of…

If a, b, c are positive real numbers, what is the value of $\sqrt{a^{-1}b} \times \sqrt{b^{-1}c}\times\sqrt{c^{-1}a}?$

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 1

$\sqrt{a^{-1}b} \times \sqrt{b^{-1}c}\times\sqrt{c^{-1}a}$

= $\sqrt{b/a} \times \sqrt{c/b}\times\sqrt{a/c}$

= 1