Question

Determine the nature of roots for the quadratic equation
$\sqrt{3 { {x}^{2} + } } \sqrt{2x} - 2 \sqrt{3} = 0$
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Answer 1

we applied b²-4ac>0

(√2)²-(4)(√3)(2√3)>0

2+24>0

27>0

so,the nature of root is,

real and distinct

hope it may help