Algebra

Radical Expressions and Equations

Radical Expressions and Equations: Level 1 Challenges

         

23+23+34+34+34= ? \Large 2^{\color{#D61F06}3} + 2^{\color{#D61F06}3} + 3^{\color{#3D99F6}4} + 3^{\color{#3D99F6}4} + 3^{\color{#3D99F6}4} = {\ \color{teal}} ?

If half of 2\sqrt{2} is k\sqrt{k}, then what is the value of k?k?

1x=3,   x= ?\large \sqrt{\frac{1}{\sqrt{ x}}}=3, \ \ \ x = \ ?

12276×3×4= ? \large \frac{\sqrt{12}-\sqrt{27}}{6}\times\sqrt{3}\times\sqrt{4}= \ ?

66+66+66+66+66+66=6a \large\color{#20A900} 6^{\color{#3D99F6} 6} + \color{#20A900} 6^{\color{#3D99F6} 6} + \color{#20A900} 6^{\color{#3D99F6} 6} + \color{#20A900} 6^{\color{#3D99F6} 6} + \color{#20A900} 6^{\color{#3D99F6} 6} + \color{#20A900} 6^{\color{#3D99F6} 6} = \color{#20A900}6^ {\color{#624F41}a}

If a\color{#624F41} a satisfies the equation above, what is the value of a\color{#624F41} a?

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