BeautyQueen97
BeautyQueen97 BeautyQueen97
  • 18-02-2019
  • Mathematics
contestada

Simplify. [tex]\sqrt{2}[/tex] · [tex]\sqrt{200}[/tex]

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 18-02-2019

Answer:

±20

Step-by-step explanation:

sqrt(2)  * sqrt(200)

We know that sqrt(a) * sqrt(b)= sqrt(ab)

sqrt(400)

We know that 20*20 = 400

sqrt(400)

±20

Answer Link
Kamikazeminem
Kamikazeminem Kamikazeminem
  • 18-02-2019

[tex]Answer: \\ \sqrt{2} \times \sqrt{200} = \sqrt{2} \times \sqrt{100 \times 2} \\ = \sqrt{2} \times \sqrt{ {10}^{2} \times 2} = 10 \times \sqrt{2} \times \sqrt{2} \\ = 10 \times { \sqrt{2} }^{2} = 10 \times 2 = 20[/tex]

Answer Link

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