Waste less time on Facebook — follow Brilliant.
Radical Expressions and Equations
Combine your skills of working with exponents and manipulating expressions for radical glory.
\[ \Large 2^{\color{red}3} + 2^{\color{red}3} + 3^{\color{blue}4} + 3^{\color{blue}4} + 3^{\color{blue}4} = \ \color{teal} ? \]
by
Chung Kevin
If half of \(\sqrt{2}\) is \(\sqrt{k}\), then what is the value of \(k?\)
by
Siva Prasad
\[\large \sqrt{\frac{1}{\sqrt{ x}}}=3, \ \ \ x = \ ? \]
by
vilashni mottian
\[ \large \frac{\sqrt{12}-\sqrt{27}}{6}\times\sqrt{3}\times\sqrt{4}= \ ? \]
by
Wenn Chuaan Lim
\[ \large\color{green} 6^{\color{blue} 6} + \color{green} 6^{\color{blue} 6} + \color{green} 6^{\color{blue} 6} + \color{green} 6^{\color{blue} 6} + \color{green} 6^{\color{blue} 6} + \color{green} 6^{\color{blue} 6} = \color{green}6^ {\color{brown}a} \]
If \(\color{brown} a\) satisfies the equation above, what is the value of \(\color{brown} a\)?
by
Adrian Gonzalez