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प्रश्न
Prove that:
`9^(3/2)-3xx5^0-(1/81)^(-1/2)=15`
उत्तर
we have to prove that `9^(3/2)-3xx5^0-(1/81)^(-1/2)=15`
`9^(3/2)-3xx5^0-(1/81)^(-1/2)=3^(2xx3/2)-3xx5^0-1/81^(-1/2)`
`=3^3-3xx1-1/(1/sqrt81)`
`=3^3-3-1/(1/root2(9xx9))`
`=27-3-1/(1/9)`
`=27-3-1xx9/1`
= 27 - 12
= 15
Hence `9^(3/2)-3xx5^0-(1/81)^(-1/2)=15`
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