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}@@.

Tags

CCSS.8.NS.A.1

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}@@.

Tags

CCSS.HSN.RN.A.2

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.

Tags

CCSS.8.EE.A.2

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}@@.

Tags

CCSS.8.NS.A.2