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प्रश्न
Arrange surds in descending order:
`root(3)(5), root(9)(4), root(6)(3)`
उत्तर
L.C.M of 3, 9 and 6 is 18
`root(3)(5) = root(3 xx 6)(5^6) = root(18)(15625)`
`root(9)(4) = root(2 xx 9)(4^2) = root(18)(16)`
`root(6)(3) = root(3 xx 6)(3^3) = root(18)(27)`
`root(18)(15625) > root(18)(27) > root(18)(16)`
`root(3)(5) > root(6)(3) > root(9)(4)`
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