Divide (6 square root of 28)/(3 square root of 4)

$\frac{6 \sqrt{28}}{3 \sqrt{4}}$

Step 1

Cancel the common factor of $6$ and $3$ .

Factor $3$ out of $6 \sqrt{28}$ .

$\frac{3 (2 \sqrt{28})}{3 \sqrt{4}}$

Cancel the common factors.

Factor $3$ out of $3 \sqrt{4}$ .

$\frac{3 (2 \sqrt{28})}{3 (\sqrt{4})}$

Cancel the common factor.

$\frac{3 (2 \sqrt{28})}{3 \sqrt{4}}$

Rewrite the expression.

$\frac{2 \sqrt{28}}{\sqrt{4}}$

Step 2

Combine $\sqrt{28}$ and $\sqrt{4}$ into a single radical.

$2 \sqrt{\frac{28}{4}}$

Step 3

Divide $28$ by $4$ .

$2 \sqrt{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{7}$

Decimal Form:

$5.29150262 \dots$