Pre-Test Algebra 2 Radical Expressions

Front

What is the simplest radical form of \( \sqrt{75} \)?

Back

\( 5\sqrt{3} \)

Front

Simplify the expression: \( \sqrt{50x^2y^6} \)

Back

\( 5xy^3\sqrt{2} \)

Front

What is the range for the graph of a function that is defined for all real numbers?

Back

\( y: (-\infty, \infty) \)

Front

Simplify completely: \( bc\sqrt{147ab} \)

Back

\( 7bc\sqrt{3ab} \)

Front

Simplify: \( 2\sqrt{3}\sqrt{14} \)

Back

\( 2\sqrt{42} \)

Front

What is a radical expression?

Back

An expression that includes a root, such as a square root or cube root.

Front

How do you simplify \( \sqrt{a^2b} \)?

Back

\( a\sqrt{b} \) if \( a \) is non-negative.

Front

What is the product property of square roots?

Back

\( \sqrt{a} \cdot \sqrt{b} = \sqrt{ab} \) for non-negative \( a \) and \( b \).

Front

What is the quotient property of square roots?

Back

\( \frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}} \) for non-negative \( a \) and \( b \) (where \( b \neq 0 \)).

Front

How do you rationalize the denominator of \( \frac{1}{\sqrt{a}} \)?

Back

Multiply the numerator and denominator by \( \sqrt{a} \) to get \( \frac{\sqrt{a}}{a} \).