Algebra Examples

$7^{\frac{1}{2}} \cdot 21^{\frac{1}{2}}$

Step 1

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$\sqrt{7^{1}} \cdot 21^{\frac{1}{2}}$

Step 2

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$\sqrt{7^{1}} \cdot \sqrt{21^{1}}$

Step 3

Anything raised to $1$ is the base itself.

$\sqrt{7} \cdot \sqrt{21^{1}}$

Step 4

Anything raised to $1$ is the base itself.

$\sqrt{7} \cdot \sqrt{21}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{7} \cdot \sqrt{21}$

Decimal Form:

$12.12435565 \dots$