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(⁴√2+⁴√8)²
Can someone please solve this


Sagot :

Answer:

  • [tex]4+3\sqrt{2}[/tex]

Step-by-step explanation:

  • [tex](\sqrt[4]{2}+\sqrt[4]{8})^2=[/tex]
  • [tex](\sqrt[4]{2})^2+ 2\sqrt[4]{2*8} +(\sqrt[4]{8})^2=[/tex]
  • [tex]\sqrt[4]{4}+ 2\sqrt[4]{16} +\sqrt[4]{64}=[/tex]
  • [tex]\sqrt[4]{4}+ 2*2 +2\sqrt[4]{4}=[/tex]
  • [tex]\sqrt{2}+4+2\sqrt{2} =[/tex]
  • [tex]4+3\sqrt{2}[/tex]
  • (⁴√2+⁴√8)²
  • (⁴√2)²+(⁴√8)²+2(⁴√8×⁴√2)
  • ⁴√2²+⁴√8²+2(⁴√16)
  • ⁴√4+⁴√64+2(2)
  • √2+4+2√2
  • 4+3√2