Radicals & Simplifying Radical Expression

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. The most common radical is the square root.

Tags

CCSS.8.NS.A.1

Front

What is the radicand in a radical expression?

Back

The radicand is the number or expression inside the radical symbol that is being rooted.

Tags

CCSS.HSN.RN.A.2

Front

What does it mean to simplify a radical expression?

Back

To simplify a radical expression means to rewrite it in a form where the radicand has no perfect square factors other than 1, and no radicals appear in the denominator.

Front

Back

It is not in simplified form because it has a radical in the denominator.

Front

What is the square root symbol called?

Back

The square root symbol is called a radical.

Tags

CCSS.8.NS.A.1

Front

Back

@@\sqrt{12} = \sqrt{4 \cdot 3} = 2\sqrt{3}$$.

Front

What is the first step in simplifying a radical expression?

Back

The first step is to factor the radicand into its prime factors and identify any perfect square factors.

Front

Back

@@\sqrt{50} = \sqrt{25 \cdot 2} = 5\sqrt{2}$$.

Front

What does it mean if a radical expression is in simplest form?

Back

A radical expression is in simplest form if there are no perfect square factors in the radicand and no radicals in the denominator.

Front

Back