Simplify Radical Expressions

Front

We must___________ all radical expressions BEFORE attempting to identify 'like radicals.'

Back

simplify

Front

Like radicals are radical expressions with the same________ and the same___________.

Back

degree and radicand

Front

What is a radical expression?

Back

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

Front

What does it mean to simplify a radical expression?

Back

To rewrite the expression in a simpler form, often by reducing the radicand.

Front

What is a radicand?

Back

The number or expression inside a radical symbol.

Front

What is the index of a radical?

Back

The small number that indicates the degree of the root, such as 2 for square roots.

Front

How do you combine like radicals?

Back

By adding or subtracting their coefficients while keeping the radicand and index the same.

Front

Give an example of like radicals.

Back

√2 and 3√2 are like radicals because they have the same radicand (2).

Front

What is the difference between like and unlike radicals?

Back

Like radicals have the same radicand and index, while unlike radicals do not.

Front

What is the first step in simplifying √(50)?

Back

Factor 50 into 25 and 2, then simplify to 5√2.