Multiplying Radicals

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

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).

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

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

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

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

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

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

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

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.