How Do You Multiply Radicals

Introduction to multiply radicals:

The opposite operation to the exponent is known as radical. A radical is an expression which contains the square roots, cube roots etc. For example the expression v100 can also be called as square root of 100 or root of 100. Radicals have the same property of the numbers. The simplification is to reduce the numbers and reduce the power of variables inside the roots. By multiplying the radical with another radical. The radical symbol will gets canceled.


Rule for Multiplying radicals:


when a positive radical  is multiplied with another positive radical then the result will be a positive whole number

example:   v 5 x v 5

v 5 x v 5 = 5

So answer will be 5

when a negative radical  is multiplied with another negative radical then the result will be a positive whole number

example:  - v 4 x -v 4

- x - = +  ( by multiplying two negative symbols we will get positive )

v 4 x v 4 = 4

So answer will be +4


Example problems for Multiplying radicals:


1) Simplify  v2  x v2

Solution:

v2  x v2 = 2

So the answer is 2

2) Simplify v ( 6 x 6 )

Solution:

v (36) = 6

So the answer is 6

3) Simplify -v( 4 ) x -v( 4 )

Solution:

-v( 4 ) x -v( 4 )

Therefore the answer is 4

4) Simplify v ( -9 x -9 )

Solution:

v (+81) = 9

So the answer is 9

5) Simplify  v( 11 ) x  v( 11 )

Solution:

v( 11 ) x  v( 11 ) = 11

Therefore the answer is 11

6) Simplify  v100  x v100

Solution:

v100  x v100 = 100



So the answer is 100

7) Simplify  - v 256  x - v 256

Solution:

- v 256 x - v 256

-  x  -  = +

v256  x v256 = 256

So the answer is +256