Infinite Roots

Algebra Level 3

What is \[ \large \sqrt{20+ \sqrt{20+ \sqrt{20 + ....}}} ?\] Write your answer as as \(a+b\), where \(\frac{a}{b}\) is equal to \(\sqrt{20+ \sqrt{20+ \sqrt{20 + ....}}}\), and a and b are relatively prime

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 5 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Infinite Roots

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 5 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.