Introduction to Radicals

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.

Front

How do you simplify a square root?

Back

To simplify a square root, factor the number under the root into its prime factors and look for pairs of factors.

Front

What is the square root of 48?

Back

4√3

Front

How do you express √24 in simplest form?

Back

√24 = 2√6

Front

What is the simplified form of √200?

Back

10√2

Front

How do you simplify √45?

Back

√45 = 3√5

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

What is the sum of two square roots?

Back

The sum of two square roots cannot be simplified in the same way as products; they can only be combined if they have the same radicand.

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 the square root of a perfect square?

Back

The square root of a perfect square is an integer. For example, √16 = 4.