Multiplying 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.

Multiplying radicals involves multiplying the numbers and the radicands (the numbers inside the radical) separately. For example, $$\text{√}a \times \text{√}b = \text{√}(a \times b)$$ .

$$\text{√}2 \times \text{√}3 = \text{√}(2 \times 3) = \text{√}6$$ .

$$\text{√}18 = \text{√}(9 \times 2) = \text{√}9 \times \text{√}2 = 3\text{√}2$$ .

$$\text{√}5 \times \text{√}5 = \text{√}(5 \times 5) = \text{√}25 = 5$$ .

$$\text{√}a \times \text{√}b = \text{√}(a \times b)$$ .

$$3 \times \text{√}2 = 3\text{√}2$$ .

$$\text{√}7 \times \text{√}14 = \text{√}(7 \times 14) = \text{√}98 = 7\text{√}2$$ .

$$\text{√}50 = \text{√}(25 \times 2) = \text{√}25 \times \text{√}2 = 5\text{√}2$$ .

$$\text{√}3 \times \text{√}12 = \text{√}(3 \times 12) = \text{√}36 = 6$$ .