190100 190100
  • 31-03-2021
  • Mathematics
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[tex]-2\sqrt{18} +2\sqrt{2}[/tex]

Respuesta :

jimrgrant1 jimrgrant1
  • 31-03-2021

Answer:

- 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify [tex]\sqrt{18}[/tex] using this rule

[tex]\sqrt{18}[/tex]

= [tex]\sqrt{9(2)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]

Then

- 2[tex]\sqrt{18}[/tex] + 2[tex]\sqrt{2}[/tex]

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

= - 6[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{2}[/tex]

= - 4[tex]\sqrt{2}[/tex]

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