Multiplying Radicals

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer. Examples include 1, 4, 9, 16, 25, etc.

Front

How do you multiply two radicals?

Back

To multiply two radicals, multiply the numbers inside the radicals and then take the square root of the product. For example, √a * √b = √(a*b).

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width. Area = length × width.

Front

What is the simplified form of √(a*b)?

Back

The simplified form of √(a*b) is √a * √b, provided both a and b are non-negative.

Front

How do you simplify √(12)?

Back

√(12) can be simplified to 2√3, since 12 = 4 * 3 and √4 = 2.

Front

What is the product of √(a) and √(b)?

Back

The product of √(a) and √(b) is √(a*b).

Front

If a rectangle has side lengths of 2√12 and 4√2, what is its area?

Back

The area is 16√6, calculated as (2√12) * (4√2) = 8√24 = 16√6.

Front

What is the value of √(36)?

Back

The value of √(36) is 6, since 6 * 6 = 36.

Front

What is the sum of √(9) and √(16)?

Back

The sum is 3 + 4 = 7, since √(9) = 3 and √(16) = 4.

Front

How do you identify perfect squares from a list of numbers?

Back

To identify perfect squares, check if the square root of each number is an integer. For example, 4, 9, 16, and 25 are perfect squares.