Respuesta :

fieryanswererft

Part A

  • (√6)² x (√2)²
  • 6 x 2
  • 12

Part B

  • (∛3)³ x (√12)²
  • 3 x 12
  • 36

Addtional Information:

  • [tex]\bold{(\sqrt{x} )^2 = x}[/tex]

  • [tex]\bold{(\sqrt[3]{x} )^3 = x}[/tex]
semsee45

Answer:

(a)  12

(b)  36

Step-by-step explanation:

Knowledge check: [tex]\sqrt{x} =\sqrt[2]{x}[/tex]

Apply the exponent rule:

[tex](\sqrt[n]{x})^n=x\quad\textsf{if}\:n\:\textsf{is odd or}\:x\geq 0[/tex]

Question (a)

[tex](\sqrt{6})^2 \times (\sqrt{2})^2=6 \times 2=12[/tex]

Question (b)

[tex](\sqrt[3]{3})^3 \times (\sqrt{12})^2=3 \times 12=36[/tex]

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