Adding Radical Expressions

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.

Front

How do you simplify √a * √b?

Back

√a * √b = √(a * b) for non-negative a and b.

Front

What is the result of √(a^2)?

Back

The result is |a|, the absolute value of a.

Front

How do you add radical expressions with the same index and radicand?

Back

You can add them by combining the coefficients of the radicals.

Front

What is the simplified form of √8?

Back

√8 = 2√2.

Front

How do you subtract radical expressions?

Back

Subtract the coefficients of the radicals if they have the same index and radicand.

Front

What is the result of 2√5 + 4√5?

Back

6√5.

Front

What is a perfect square?

Back

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

Front

Which numbers are perfect squares?

Back

0, 1, 4, 9, 16, 25, 36, etc.

Front

How do you simplify √18 - √12?

Back

√18 - √12 = 3√2 - 2√3 = √2.