Question 122

What is the product of the roots of the equation $$x^{2}-\sqrt{3}=0?$$

Solution

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For an equation $$ax^{2} + bx + c = 0,

the product of the roots is given by = $$\frac{c}{a}$$

Comparing, $$x^{2}-\sqrt{3}=0$$ from above equation,

product of roots = $$\frac{-\sqrt{3}}{1} = -\sqrt{3}$$

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