Absolutely, let's solve the expression [tex]\((\sqrt{9} \times \sqrt[3]{64})^2\)[/tex] step-by-step.
1. Evaluate the square root of 9:
[tex]\[
\sqrt{9} = 3.0
\][/tex]
2. Evaluate the cube root of 64:
[tex]\[
\sqrt[3]{64} = 4.0
\][/tex]
3. Multiply the results of the square root of 9 and the cube root of 64:
[tex]\[
3.0 \times 4.0 = 12.0
\][/tex]
4. Square the result of the multiplication:
[tex]\[
(12.0)^2 = 144.0
\][/tex]
So, the value of the expression [tex]\((\sqrt{9} \times \sqrt[3]{64})^2\)[/tex] is [tex]\(144.0\)[/tex].
