Radical Review

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents the root of a number, most commonly the square root. For example, √4 represents the square root of 4, which is 2.

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors, and then take out pairs of factors as whole numbers.

Front

What is the square root of 16?

Back

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

Front

Simplify: √(a²)

Back

The simplified form is 'a', assuming a is non-negative.

Front

What is the product of two square roots?

Back

The product of two square roots can be simplified as √a * √b = √(a*b).

Front

Simplify: √(18)

Back

√(18) = √(9*2) = 3√2.

Front

What is the sum of two radicals?

Back

The sum of two radicals can only be combined if they have the same radicand. For example, √2 + √2 = 2√2.

Front

Simplify: 3√5 + 2√5

Back

The simplified form is 5√5.

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

Simplify: 4√3 - 2√3

Back

The simplified form is 2√3.