Simplifying Radical Expressions

Front

What is a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root, cube root, etc. For example, @@ ext{radical expression} = ext{ } oot{n}{x}@@.

Front

How do you simplify a square root?

Back

To simplify a square root, factor the number under the root into its prime factors and pair them. For example, @@ ext{Simplify } oot{2}{8} = oot{2}{4 imes 2} = 2 oot{2}{2}@@.

Front

What is the square root of 98?

Back

@@ ext{The square root of 98 is } 7 oot{2}{2}@@.

Front

How do you simplify @@ oot{2}{92a^2b^3}@@?

Back

@@ ext{The simplified form is } 2ab oot{2}{23b}@@.

Front

What is the simplified form of @@ oot{2}{151r^2s^3}@@?

Back

@@ ext{The simplified form is } rs oot{2}{151s}@@.

Front

What is the simplified form of @@ oot{2}{2x^2y^3}@@?

Back

@@ ext{The simplified form is } xy oot{2}{2y}@@.

Front

What is the process of simplifying radical expressions?

Back

The process involves factoring the radicand (the number under the root) into perfect squares and simplifying them.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16, etc.

Front

How do you simplify @@ oot{2}{124}@@?

Back

@@ ext{The simplified form is } 2 oot{2}{31}@@.

Front

What is the square root of 151?

Back

@@ ext{The square root of 151 is } oot{2}{151}@@.