If a, b, c are positive real numbers, then \(\sqrt{a^{-1}{b}}\times\)

1.	If a, b, c are positive real numbers, then \(\sqrt{a^{-1}{b}}\times\)\(\sqrt{b^{-1}{c}}\times\)\(\sqrt{c^{-1}{a}}\) is equal toA. 1 B. abc C. \(\sqrt{abc}\)D.\(\frac{1}{abc}\)
Answer» (b/a)^1/2 × (c/b)^1/2 × (a/c)^1/2 = (b/a × c/b × a/c)^1/2 = 1

If a, b, c are positive real numbers, then \(\sqrt{a^{-1}{b}}\times\)\(\sqrt{b^{-1}{c}}\times\)\(\sqrt{c^{-1}{a}}\) is equal toA. 1 B. abc C. \(\sqrt{abc}\)D.\(\frac{1}{abc}\)

Answer»

(b/a)^1/2 × (c/b)^1/2 × (a/c)^1/2

= (b/a × c/b × a/c)^1/2

= 1