Multiplying Radicals

Front

What is a radical?

Back

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

Front

What does it mean to multiply radicals?

Back

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

Front

Back

Front

What is the product of two square roots?

Back

Front

Back

Front

What is the formula for multiplying binomials?

Back

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

Front

Simplify: (2 + √3)(2 - √3)

Back

2^2 - (√3)^2 = 4 - 3 = 1.

Front

What is the result of multiplying a radical by a whole number?

Back

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

Front

Simplify: 5√2 × 3√5

Back

15√10.

Front

What is the difference of squares?

Back

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