simplify radicals

• Learning Target:

•I can fluently simplify radicals with variables.

• Vocabulary:

•
Exponent

•
Root

•
Rational Exponent

•
Radical -nth root

•
Rational exponent

• Check, name the following part of a radical

• 1. Name 8:
• 2. Name 8a^3:
• 3. Which number represent the exponent?
• 4. Name the index :
• 5. when there is not an index, we assume it is:

Steps to simplify radicals with variables

• 1. If there is a coefficient, simply first. You can use

a calculator.

• 2. For the variable, divide the exponent by the

index.

• 3. The quotient will the exponent of answer.
• 4. If there is a remainder, keep the remainder

inside of the radical.

Examples:

• Check-point, simplify:

What if the exponent of the radicand is not an
even number

• Check-point ,simplify the radicals

Simplify radicals that the index is not 2 .

• Check-point, simplify the radicals

• Simplify a radical with coefficient and variables

• Check-point, simplify radicals

"i" is known as the imaginary unit,
or unit imaginary number, and is
defined as the square root of -1.

Quiz

• https://quizizz.com/admin/quiz/6245f86f72729b001d30382b?sou

rce=quiz_share

Closure:

• Quick write, in a couple sentences explain how would
you simplify a radical with variables?