# To find the equation: 11*sqrt48

To find the equation: $$\displaystyle{11}\cdot\sqrt{{48}}$$

2021-01-09

$$\displaystyle{11}\cdot\sqrt{{48}}={11}\sqrt{{{16}\cdot{3}}}$$

Rewrite 48 as a product.
$$\displaystyle={11}\cdot\sqrt{{16}}\cdot\sqrt{{3}}$$

Use the rule $$\displaystyle\sqrt{{x}}{y}=\sqrt{{x}}\cdot\sqrt{{y}}$$
$$\displaystyle={11}\cdot{4}\cdot\sqrt{{3}}$$

Evaluate $$\sqrt{16}=4$$
$$\displaystyle={44}\sqrt{{3}}$$ Multiply