How totally radical! (part 2)

Algebra Level 2

Evaluate the following expression:

$(\sqrt{3} \times \sqrt[3]{16} \times \sqrt[4]{0.5625})\div (\sqrt[6]{256} \times \sqrt[7]{128})$

1 solution

Denton Young
May 4, 2017

The expression in the left-hand set of parentheses simplifies to $3 \times \sqrt[3]{2}$ . This is divided by $(2 \times \sqrt[6]{4}) \times 2$

So the radicals vanish, and you get $3/4$ as the answer.