The equivalent expression of [tex]\sqrt{-12}[/tex] is [tex]2\sqrt{-3}[/tex]
The expression is given as:
[tex]\sqrt{-12[/tex]
Express -12 as 4 * -3
[tex]\sqrt{-12} = \sqrt{4 * -3}[/tex]
Expand the expression
[tex]\sqrt{-12} = \sqrt{4} * \sqrt{-3}[/tex]
Take the positive square root of 4
[tex]\sqrt{-12} = 2 * \sqrt{-3}[/tex]
Evaluate the product
[tex]\sqrt{-12} = 2\sqrt{-3}[/tex]
Hence, the equivalent expression of [tex]\sqrt{-12}[/tex] is [tex]2\sqrt{-3}[/tex]
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