Question

Multiply and simplify if possible √7x(√x-7 √7)
!!!!please show all steps!!!!

Answer 1

`√(7x) - 49`

Explanation:

The surd to be simplified is

`√(7)( √(x) - 7 √(7))`

Using the distributive property of multiplication over subtration,we obtain

`= √(7) * √(x) - √(7) * 7√(7)`

Properties of surds state that

`√(a) * √(b) = √(ab)`

and

`√(a) * √(a) = a`

Therefore,

`√(7) * √(x) - √(7) * 7√(7) = √(7x) - 7(7) = √(7x) - 49`