1. This document discusses how to simplify expressions involving radicals through four main steps: simplifying expressions with rational exponents, writing expressions between radical and rational exponent form, simplifying radical expressions using laws of radicals, and identifying similar radicals. 2. It provides examples of transforming between rational exponent and radical form, simplifying radical expressions, and identifying whether pairs of radicals are like radicals that can be combined or unlike radicals that cannot be. 3. The document serves as a reference for working with radicals, from basic skills like rational exponents to more advanced skills like adding and subtracting radicals.

1. Adding and subtracting radicals.
1. Simplify expressions with rational exponents.
2. Write expressions with rational exponents as radicals and vice-versa.
3. Simplify radical expressions using the laws of radicals.
4. Identify similar radicals.

2. Similar Radicals -are radicals
with the same index and radi-
cand. These radicals can be
combined into a single radical.
Oh,...Like radicals can be combined!
Simplify the following expressions with rational exponents.
Apply laws of exponents
in simplifying expressions
with rational exponents.

3. Direction: Transform each expression to radical form and vice versa.
Remember: If m and n are positive
integers that are relatively prime,
and let a be a real number such that
is defined in real numbers., then
Direction: Simplify each of the following. Assume that the variables are positive.
Apply laws of radicals
in simplifying radical
expressions.

4. Direction: Identify each of the following pairs of radicals as like radicals or not. If they
are like radicals write LR if not write NLR
Direction: ADD or SUBTRACT each of the following.
NOTE: Apply the distributive
property, then combine the
coefficients.

5. Direction: ADD or SUBTRACT each of the following.Direction: ADD or SUBTRACT each of the following.
Direction: Find the sum or difference each of the following.

6. REFERENCE
Transformer!Make Me Simple! Let’s Simplify!
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7. Like Radicals or Not?
1. LR
2. NLR
3. NLR
4. LR
5. LR
Assessment Card
Let’s Add or Subtract Radicals Enrichment Card
36-40—Very Good
16-35— Good
1-15—Fair