Hindi, asked by veromicspop, 9 months ago

find the value of K, if  \sqrt[4]{3 \sqrt{ {x}^{2} } }   =  {x}^{k}

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Answered by Anonymous
4

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Answered by BRAINLYADDICTOR
107

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=> \sqrt[4]{3 \sqrt{ {x}^{2} } } = {x}^{k}

here \\ a = 3. \: b = k \sqrt{3} . \: c = 4 \\  =  > b {}^{2}  - 4ac = 0 \\  =  > (k \sqrt{3) } {}^{2}  - 4(3)(4) = 0 \\  =  > k {}^{2}  3 - 48 = 0 \\  =  > k {}^{2}  = 48 \div 3 \\ =>k {}^{2}  = 16  \\ =>k = +-4

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