Question

Ֆին (Find) (√3+√7) (√7-√3)​

Answer 1

We are given

`( √(3) + √(7) )( √(7) - √(3) )`

• We want to consolidate the equation first
• We get an answer of 4

Answer 2

4

Explanation:

Using the rule of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)` and
`√(a)` ×
`√(a)` = a

Given

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

Each term in the second factor is multiplied by each term in the first factor, that is

`√(3)` (
`√(7)` -
`√(3)` ) +
`√(7)` (
`√(7)` -
`√(3)` ) ← distribute both parenthesis

=
`√(21)` - 3 + 7 -
`√(21)` ← collect like terms

= 4