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  • 20-12-2019
  • Mathematics
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What is -4√12+√75 in the simplest radical form?

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bayosanuade
bayosanuade bayosanuade
  • 20-12-2019

Answer: -3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

-4[tex]\sqrt{12}[/tex] + [tex]\sqrt{75}[/tex]

[tex]\sqrt{12}[/tex] can be written as [tex]\sqrt{4}[/tex] x [tex]\sqrt{3}[/tex]

which is the same as 2[tex]\sqrt{3}[/tex]

Also , [tex]\sqrt{75}[/tex] can be written as [tex]\sqrt{25}[/tex] x[tex]\sqrt{3}[/tex] , which is the same as 5[tex]\sqrt{3}[/tex]

Substituting into the main question , we have

-4 (2[tex]\sqrt{3}[/tex] ) + 5[tex]\sqrt{3}[/tex]

= -8[tex]\sqrt{3}[/tex] + 5[tex]\sqrt{3}[/tex]

= -3[tex]\sqrt{3}[/tex]

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