Simplify sqrt(24) and solve 6 × 6 × 6.

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: Simplify $\sqrt{24}$

Find the largest perfect square factor of 24.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The largest perfect square factor is 4.
Rewrite the expression using the perfect square factor.
$\sqrt{24} = \sqrt{4 \times 6}$
Apply the product property of square roots, $\sqrt{ab} = \sqrt{a} \times \sqrt{b}$ .
$\sqrt{4 \times 6} = \sqrt{4} \times \sqrt{6}$
Calculate the square root of the perfect square.
$\sqrt{4} \times \sqrt{6} = 2\sqrt{6}$
The simplified expression is:
$\boxed{2\sqrt{6}}$
: Solve $6 \times 6 \times 6$
Multiply the first two numbers.
$6 \times 6 = 36$
Multiply the result by the third number.
$36 \times 6 = 216$
The product is:
$\boxed{216}$

Simplify sqrt(24) and solve 6 x 6 x 6.