Operations on Radicals

A radical is an expression that includes a root, such as a square root (√) or cube root (∛). For example, $$\text{√}x$$ is a radical.

To multiply two radicals, multiply the numbers inside the radicals and then take the square root of the result. For example, $$\text{√}a \times \text{√}b = \text{√}(ab)$$ .

The product property states that $$\text{√}a \times \text{√}b = \text{√}(ab)$$ .

The quotient property states that $$\frac{\text{√}a}{\text{√}b} = \text{√}\frac{a}{b}$$ , provided that @@b eq 0@@.

You can simplify it to $$\text{√}(ab)$$ .

The simplified form is $$3\text{√}{2}$$ .

You can simplify it to $$\frac{\text{√}3}{5}$$ .

The result is $$-40\text{√}{3}$$ .

The result is $$-24\text{√}{6}$$ .

The result is $$2x^4\text{√}{6}$$ .