Simplifying 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 radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors and look for pairs of factors to take out of the radical.

Front

What is the square root of 64?

Back

8, because 8 x 8 = 64.

Front

What is the simplified form of √32?

Back

4√2.

Front

What is the simplified form of 4√75?

Back

20√3.

Front

What is the simplified form of √80?

Back

4√5.

Front

What is the simplified form of √96?

Back

4√6.

Front

What is a perfect square?

Back

A perfect square is an integer that is the square of another integer.

Front

List three examples of perfect squares.

Back

1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

Front

How do you identify perfect squares among integers?

Back

An integer is a perfect square if it can be expressed as the product of an integer multiplied by itself.