M2A Simplifying Radicals Partner Flashcard

Front

What is a radical?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛). It represents the operation of finding a number that, when multiplied by itself a certain number of times, gives the original number.

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 then pair the factors. Each pair can be taken out of the square root as a single number.

Front

What is the square root of 98?

Back

The square root of 98 simplifies to 7√2.

Front

What is the square root of -320?

Back

The square root of -320 simplifies to 8i√5, where 'i' is the imaginary unit.

Front

What is the square root of 112?

Back

The square root of 112 simplifies to 4√7.

Front

What is the square root of -180?

Back

The square root of -180 simplifies to 6i√5.

Front

What is the square root of 175?

Back

The square root of 175 simplifies to 5√7.

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1, used to express complex numbers.

Front

What does it mean to simplify a radical expression?

Back

Simplifying a radical expression means rewriting it in its simplest form, removing any perfect square factors from under the radical.

Front

What is 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.