Simplifying Radicals, Square Roots, Quad Formula,& Discriminate

Front

What is a radical?

Back

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

Front

How do you simplify √24?

Back

√24 = √(4*6) = √4 * √6 = 2√6.

Front

What is the square root of 16?

Back

The square root of 16 is 4.

Front

What is the Quadratic Formula?

Back

The Quadratic Formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

What does the discriminant tell you?

Back

The discriminant (b² - 4ac) indicates the nature of the roots of a quadratic equation: if > 0, two real solutions; if = 0, one real solution; if < 0, two complex solutions.

Front

Solve for x: x² - 4 = 76.

Back

x = 4√5, -4√5.

Front

What is the first step in solving x² + 6x - 13 = 3?

Back

Make it equal 0 by subtracting 3 on each side.

Front

Solve by taking square roots: 3 + 9r² = 12.

Back

r = 1, r = -1.

Front

What is the value of the discriminant for the equation x² + 6x - 13 = 3?

Back

The discriminant is 36, indicating two real solutions.

Front

How do you express √(a*b)?

Back

√(a*b) = √a * √b.