Adding and Subtracting Radicals

Front

What is the square root of 36?

Back

6

Front

What does it mean to simplify a radical expression?

Back

To express the radical in its simplest form, removing any perfect square factors.

Front

What is the simplified form of √24?

Back

2√6

Front

How do you simplify the expression 3√20 + 4√5?

Back

10√5

Front

What is the value of √(a^2) for any real number a?

Back

|a| (the absolute value of a).

Front

What is a perfect square?

Back

A number that can be expressed as the square of an integer.

Front

How do you add radical expressions?

Back

You can only add radicals with the same index and radicand.

Front

What is the index of a radical?

Back

The index indicates the degree of the root; for example, in √x, the index is 2.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot.

Front

What is the simplified form of √(a^2b)?

Back

a√b, assuming a is non-negative.