Simplify ( square root of 7)/2* square root of 3

$\frac{\sqrt{7}}{2} \cdot \sqrt{3}$

Step 1

Combine $\frac{\sqrt{7}}{2}$ and $\sqrt{3}$ .

$\frac{\sqrt{7} \sqrt{3}}{2}$

Step 2

Combine using the product rule for radicals.

$\frac{\sqrt{7 \cdot 3}}{2}$

Step 3

Multiply $7$ by $3$ .

$\frac{\sqrt{21}}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{21}}{2}$

Decimal Form:

$2.29128784 \dots$