Add, Subtract, Multiply 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

How do you simplify √(a*b)?

Back

√(a*b) = √a * √b, provided a and b are non-negative.

Front

What is the product of two radicals?

Back

The product of two radicals can be simplified using the property: √a * √b = √(a*b).

Front

How do you add or subtract radicals?

Back

You can only add or subtract radicals with the same index and radicand (e.g., √2 + √2 = 2√2).

Front

What is the square of a binomial (a + b)?

Back

(a + b)² = a² + 2ab + b².

Front

What is the formula for the difference of squares?

Back

a² - b² = (a + b)(a - b).

Front

How do you multiply two binomials?

Back

Use the distributive property (FOIL): (a + b)(c + d) = ac + ad + bc + bd.

Front

What is the cube root of a number?

Back

The cube root of a number x is a value y such that y³ = x.

Front

How do you simplify ∛(a*b)?

Back

∛(a*b) = ∛a * ∛b.

Front

What is the result of (√a + √b)²?

Back

(√a + √b)² = a + 2√(ab) + b.