223k views
2 votes
Which one is greater? √5 + √3 or √6 + √2

User John Ward
by
7.5k points

2 Answers

1 vote

Answer:

Hi,

the greater is


√(5) +√(3)

Explanation:


12 < 15\\\\\Longrightarrow\ √(12) < √(15) \\\\\Longrightarrow\ 2√(12) < 2√(15) \\\\\Longrightarrow\ 8+2√(12) < 8+2√(15) \\\\\Longrightarrow\ 6+2+2√(12) < 5+3+2√(15) \\\\\Longrightarrow\ (√(6)+√(2))^2 < (√(5)+√(3))^2 \\\\\Longrightarrow\ \boxed{√(6)+√(2) < √(5)+√(3)} \\

User Annabelle
by
8.3k points
4 votes
Answer:


image


image

So the first is bigger (
√(5) + √(3))
User Tal Sahar
by
8.0k points

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