Unit 5 Radicals (operations, graphing, solving) Review 1

Front

What is a radical in mathematics?

Back

A radical is a symbol used to represent the root of a number, most commonly the square root.

Front

How do you simplify √a ⋅ √b?

Back

√a ⋅ √b = √(a*b) if a and b are non-negative.

Front

What is the solution to the equation x² = 9?

Back

x = 3 or x = -3.

Front

What does it mean if an equation has 'No Solution'?

Back

It means there are no values that satisfy the equation.

Front

How do you express a solution in set notation?

Back

Use curly braces to list the solutions, e.g., x = {1, 2, 3}.

Front

What is the simplified form of √50?

Back

√50 = 5√2.

Front

How do you solve the equation x² - 4 = 0?

Back

x = 2 or x = -2.

Front

What is the result of √(a²)?

Back

The result is |a|, the absolute value of a.

Front

How do you combine like radicals?

Back

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

Front

What is the value of √(x²) when x = -5?

Back

The value is 5, since √((-5)²) = √25 = 5.