207,711 views
42 votes
42 votes
(⁴√2+⁴√8)²
Can someone please solve this

User Anton Eliasson
by
2.6k points

2 Answers

25 votes
25 votes
  • (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
User Slight
by
2.9k points
21 votes
21 votes

Answer:


  • 4+3√(2)

Explanation:


  • (\sqrt[4]{2}+\sqrt[4]{8})^2=

  • (\sqrt[4]{2})^2+ 2\sqrt[4]{2*8} +(\sqrt[4]{8})^2=

  • \sqrt[4]{4}+ 2\sqrt[4]{16} +\sqrt[4]{64}=

  • \sqrt[4]{4}+ 2*2 +2\sqrt[4]{4}=

  • √(2)+4+2√(2) =

  • 4+3√(2)
User Jeffery Hicks
by
3.1k points