Multiplying Radicals

A radical is an expression that includes a root, such as a square root (√) or cube root (∛).

Multiplying radicals involves using the property that @@ \sqrt{a} \times \sqrt{b} = \sqrt{a \times b}@@.

$$\sqrt{16} = 4$$ .

The product of two square roots is the square root of the product of the numbers, i.e., $$\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}$$ .

$$\sqrt{36} = 6$$ .

The formula is: (a + b)(c + d) = ac + ad + bc + bd.

2^2 - (√3)^2 = 4 - 3 = 1.

The whole number can be multiplied directly with the radical, e.g., 3√2 = 3 times the square root of 2.

15√10.

The difference of squares is a² - b² = (a + b)(a - b).