Evaluate \(6^3\)
\(216\)
\(6^{3}=6 \times 6 \times 6=216\)
Evaluate \(\sqrt {64} \)
\(8\)
\(\sqrt{64}=\sqrt{8 \times 8}=\sqrt{8^{2}}=8\)
Evaluate \(\sqrt[3]{{27}}\)
\(3\)
\(\sqrt[3]{27}=\sqrt[3]{3 \times 3 \times 3}=3\)
Evaluate \({81^{\frac{1}{4}}}\)
\(81^{\frac{1}{4}}=(3 \times 3 \times 3 \times 3)^{\frac{1}{4}}=3\)
Evaluate \(\sqrt {{{(4 + 1)}^2} - {{(6 - 2)}^2}} \)
\begin{aligned}\sqrt{(4+1)^{2}-(6-2)^{2}} &=\sqrt{5^{2}-4^{2}} \\&=\sqrt{25-16} \\&=\sqrt{9} \\&=\sqrt{3 \times 3}=3\end{aligned}