Question

What is the following product?

Answer 1

`2 √(42) +7 √(2)- 6- √(21)`

Step-by-step explanation

The given product is:

`( √(14) - √(3) )( √(12) + √(7) )`

We expand using the distributive property to obtain:

`√(14)( √(12) + √(7)) -√(3)( √(12) + √(7) )`

Extract the perfect squares to get:

`√(14)(2 √(3) + √(7)) -√(3)( 2√(3) + √(7) )`

Expand further to get;

`2 √(42) +7 √(2)- 2(3) - √(21)`

This simplifies to,

`2 √(42) +7 √(2)- 6- √(21)`