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Radical means square root or root. In , a is called as radicand and n is called as an index. If there are two radicals and the multiplication of radicals involves two steps. Firstly, multiplying the outside numbers x times y and in the second step multiplying the inside numbers a times b. Hence it becomes xy.

**Example 1:** Simplify

72 can be written as 2 x 2 x 2 x 3 x 3 = (2 x 3) x (2 x 3) x 2

= 6 x 6 x 2 = x 2

Can be written as (x . x . x. x. x) = ( . . x)

can be written as (y. y. y. y. y. y. y. y) = ( .. )

can be written as (z. z. z. z. z. z. z) = ( .

=

= 6. x. x .y. y. y. y .z. z. z

= 6

**Example 2:** Multiply 2+ 3 and - 2

(2+ 3 . ( - 2

Using distributive method for multiplication.

(2+ 3 . ( - 2 = 2. ( - 2 +3 ( - 2

= 2 - 2(2 + 3 ( ) - 3 (2

= 2 - 4 + 3 - 6

= 2 - 4 + 3 - 6

= 2 - 4 + 3 - 6

= 2 - 4 + 15 - 6

= -4 + 11