Question

What is the following product? (x square root 7 -3 square root 6) (x square root 7 - 3 square root 8

Answer 1

The products of the expression is 7 x² - ( 6
`√(14)` - 3
`√(42)` ) x + 36
`√(3)`

Explanation:

Given expression :

( x
`√(7)` - 3
`√(6)` ) × ( x
`√(7)` - 3
`√(8)` )

Or, ( x
`√(7)` × x
`√(7)` ) - 3 x ×
`√(7)` ×
`√(8)` - 3 x ×
`√(7)` ×
`√(6)` + 3 ×
`√(6)` × 3
`√(8)`

Or, 7 x² - 3 x ×
`√(56)` - 3 x ×
`√(42)` + 9 ×
`√(48)`

Or, 7 x² - 3 x × (
`√(56)` +
`√(42)` ) + 9 ×
`√(48)`

or , 7 x² - 3 x × ( 2
`√(14)` +
`√(42)` ) + 9 × 4
`√(3)`

Or, 7 x² - ( 6
`√(14)` - 3
`√(42)` ) x + 36
`√(3)`

Hence The products of the expression is 7 x² - ( 6
`√(14)` - 3
`√(42)` ) x + 36
`√(3)` . Answer