Question

Ֆին (Find) (√3+√7) (√7-√3)​

Answer 1

Answer:

4

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$ and $\sqrt{a}$ × $\sqrt{a}$ = a

Given

($\sqrt{3}$ + $\sqrt{7}$ )($\sqrt{7}$ - $\sqrt{3}$ )

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

$\sqrt{3}$ ($\sqrt{7}$ - $\sqrt{3}$ ) + $\sqrt{7}$ ($\sqrt{7}$ - $\sqrt{3}$ ) ← distribute both parenthesis

= $\sqrt{21}$ - 3 + 7 - $\sqrt{21}$ ← collect like terms

= 4

Answer 2

Answer:

We are given

$( \sqrt{3} + \sqrt{7} )( \sqrt{7} - \sqrt{3} )$

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