\(\sqrt {\;{x^{ - 1}}y} \times \sqrt {{y^{ - 1}}z} \times \sqrt {{z^{ - 1}}x} \) এর সরলমান কত ?
Solution
Correct Answer: Option B
√(x-1y).√(y-1z).√(z-1x)
=√(1/x.y)√(1/y.z)√(1/z.x)
=√(y/x).√(z/y).√(x/z)
=√{(y/z).(z/y).(x/z)}=√1=1
=√(1/x.y)√(1/y.z)√(1/z.x)
=√(y/x).√(z/y).√(x/z)
=√{(y/z).(z/y).(x/z)}=√1=1
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