Question

What is the following product 3 sqrt 2(5 sqrt 6-7 sqrt 3)

Answer 1

`(30√(3)-21√(6))`

Explanation:

We have to find the product of the expressions.

`3√(2)(5√(6)-7√(3))\\`

=
`3√(2)* 5√(6)-7√(3)* 3√(2)` ( By distributive rule)

=
`3* 5(√(2))(√(6))-7* 3(√(3))(√(2))`

=
`15√(12)-21√(6)`

=
`15√(4* 3)-21√(6)`

=
`30√(3)-21√(6)`

=
`(30√(3)-21√(6))`

Answer 2

the answer in the attached figure