12/16 Operations with 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. For example, √x is a radical expression.

Front

How do you simplify √(a^2)?

Back

√(a^2) simplifies to |a|, which is the absolute value of a.

Front

What is the product property of square roots?

Back

The product property states that √(a * b) = √a * √b for any non-negative numbers a and b.

Front

What is the quotient property of square roots?

Back

The quotient property states that √(a / b) = √a / √b for any non-negative numbers a and b, where b ≠ 0.

Front

How do you simplify √(x^2 * y^2)?

Back

√(x^2 * y^2) simplifies to xy.

Front

What is the value of √(49)?

Back

√(49) = 7.

Front

How do you simplify √(98/2)?

Back

√(98/2) simplifies to √(49) = 7.

Front

What is the simplified form of 5√(160)?

Back

5√(160) simplifies to 20√10.

Front

What is the simplified form of 6√(2a^10b^7)?

Back

6√(2a^10b^7) simplifies to 6a^5b^3√(2b).

Front

What is the simplified form of (3√5)/4?

Back

(3√5)/4 is already in its simplest form.