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 or ∛(x+2).

Front

How do you simplify √(a^2)?

Back

√(a^2) = a, where a is a non-negative number.

Front

What is the product property of square roots?

Back

The product property states that √(a) * √(b) = √(a*b).

Front

How do you simplify √(a) * √(b)?

Back

You can combine them as √(a*b).

Front

What is the quotient property of square roots?

Back

The quotient property states that √(a/b) = √(a) / √(b), where b ≠ 0.

Front

How do you simplify √(a/b)?

Back

You can separate it as √(a) / √(b).

Front

What is the definition of a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer, such as 1, 4, 9, 16, etc.

Front

How do you simplify √(x^4)?

Back

√(x^4) = x^2, where x is a non-negative number.

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 be expressed as a simple fraction (e.g., √2, π).

Front

What is the radical sign?

Back

The radical sign (√) is used to indicate the square root or nth root of a number.