Simplifying Radical Test

Front

What is a radical in mathematics?

Back

A radical is a symbol used to represent the root of a number, most commonly the square root. For example, √4 represents the square root of 4.

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect square factors from under the radical sign.

Front

What is the square root of 16?

Back

The square root of 16 is 4, since 4 x 4 = 16.

Front

How do you simplify √50?

Back

√50 can be simplified to 5√2, because 50 = 25 x 2 and √25 = 5.

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)?

Back

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

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.

Front

What is an example of an irrational number?

Back

An example of an irrational number is √2, which cannot be expressed as a fraction.

Front

How do you add √3 and √12?

Back

√3 + √12 simplifies to √3 + 2√3 = 3√3.