거듭제곱근과 지수의 확장

Explain why the expression ${(-16)}^{\frac{3}{2}}$ cannot be evaluated.

What does it mean when a radical does not have an index? Is the expression equal to the radicand? Explain.

Where would radicals come in the order of operations? Explain why.

Every number will have two square roots. What is the principal square root?

For the following exercises, simplify each expression.

$\sqrt{256}$

For the following exercises, simplify each expression.

$\sqrt{\sqrt{256}}$

For the following exercises, simplify each expression.

$\sqrt{4(9+16)}$

For the following exercises, simplify each expression.

$\sqrt{289}-\sqrt{121}$

For the following exercises, simplify each expression.

$\sqrt{196}$

For the following exercises, simplify each expression.

$\sqrt{1}$

For the following exercises, simplify each expression.

$\sqrt{98}$

For the following exercises, simplify each expression.

$\sqrt{\frac{27}{64}}$

For the following exercises, simplify each expression.

$\sqrt{\frac{81}{5}}$

For the following exercises, simplify each expression.

$\sqrt{800}$

For the following exercises, simplify each expression.

$\sqrt{169}+\sqrt{144}$

For the following exercises, simplify each expression.

$\sqrt{\frac{8}{50}}$

For the following exercises, simplify each expression.

$\frac{18}{\sqrt{162}}$

For the following exercises, simplify each expression.

$\sqrt{192}$

For the following exercises, simplify each expression.

$14\sqrt{6}-6\sqrt{24}$

For the following exercises, simplify each expression.

$15\sqrt{5}+7\sqrt{45}$