Radicals and Rationals

Front

What is a radical in mathematics?

Back

A radical is an expression that includes a root, such as a square root or cube root. For example, √4 is a radical.

Front

What is the definition of a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where p is the numerator and q is the denominator (q ≠ 0).

Front

Simplify: √(36n^2)

Back

6n

Front

What is the product of two radicals?

Back

The product of two radicals can be simplified by multiplying the numbers inside the radicals. For example, √a * √b = √(a*b).

Front

Simplify: 4^(1/3) x 4^(4/3)

Back

4^(5/3)

Front

What is the principle of simplifying rational expressions?

Back

To simplify a rational expression, factor the numerator and denominator and then cancel out any common factors.

Front

Evaluate: √(16) + √(9)

Back

7

Front

What does it mean to rationalize the denominator?

Back

Rationalizing the denominator means to eliminate any radicals from the denominator of a fraction.

Front

Solve for x: x^2 = 4

Back

x = 2 or x = -2

Front

What is the difference between a perfect square and a non-perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer, while a non-perfect square cannot.