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 } ext{ } oot{2}{72} = oot{2}{36 imes 2} = oot{2}{36} imes oot{2}{2} = 6 oot{2}@@.

Front

What is the square root of 144?

Back

Front

What is the simplified form of @@ oot{2}{200}@@?

Back

The simplified form of @@ oot{2}{200} = 10 oot{2}@@.

Front

What is the process of simplifying @@ oot{2}{a^2}@@?

Back

The process involves taking the square root of the variable: @@ oot{2}{a^2} = a@@.

Front

How do you simplify @@ oot{2}{x^4}@@?

Back

You can simplify it as follows: @@ oot{2}{x^4} = x^2@@.

Front

What is the simplified form of @@ oot{2}{72}@@?

Back

The simplified form of @@ oot{2}{72} = 6 oot{2}@@.

Front

What is the prime factorization of 245?

Back

Front

How do you simplify @@ oot{2}{300}@@?

Back

You can simplify it as follows: @@ oot{2}{300} = 10 oot{3}@@.

Front

What is the simplified form of @@ oot{2}{200a^2b^6}@@?

Back

The simplified form is @@10ab^3 oot{2}@@.