Answer
a. $8$
b. $11$
c. $6$
Work Step by Step
a. Rewrite as a radical:
$\sqrt {64}$
Take the square root:
$=8$
b. When two exponential expressions with the same base are multiplied together, add the exponents together, keeping the base as-is:
$11^{\frac{1}{2} + \frac{1}{2}}$
$=11^{\frac{2}{2}}$
$=11^{1}$
$=11$
c. Rewrite as radicals:
$\sqrt {3} \cdot \sqrt {12}$
Multiply the two radicands since the indexes are the same:
=$\sqrt {3 \cdot 12}$
Multiply to simplify:
$=\sqrt {36}$
Take the square root:
$=6$
