Flashcard 18 Practice- Solving with Square Roots

Front

What is the square root of a number?

Back

The square root of a number x is a value y such that y² = x. It can be positive or negative.

Front

What are the square roots of 16?

Back

+4 and -4.

Front

How do you solve the equation x² = 4?

Back

Take the square root of both sides: x = ±√4, which gives x = +2 and -2.

Front

What is the process to find the zeros of a quadratic equation?

Back

Set the equation to zero and solve for x using factoring, completing the square, or the quadratic formula.

Front

What is the simplified form of √40?

Back

2√10.

Front

How do you simplify square roots?

Back

Factor the number under the square root into its prime factors and pair them to simplify.

Front

What is the square root of 96?

Back

4√6.

Front

What does it mean to simplify a square root?

Back

To express the square root in its simplest form, removing any perfect square factors.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root: b² - 4ac. It determines the nature of the roots.