Question

simplify 4÷(√7+√3) please simplify this ​

Answer 1

$\sqrt{7} - \sqrt{3}$

Answer 2

Answer:

$\huge\boxed{\sqrt7-\sqrt3}$

Step-by-step explanation:

$4:(\sqrt7+\sqrt3)=\dfrac{4}{\sqrt7+\sqrt3}\cdot\dfrac{\sqrt7-\sqrt3}{\sqrt7-\sqrt3}=\dfrac{4(\sqrt7-\sqrt3)}{(\sqrt7)^2-(\sqrt3)^2}\\\\=\dfrac{4(\sqty7-\sqrt3)}{7-3}=\dfrac{4\!\!\!\!\diagup(\sqrt7-\sqrt3)}{4\!\!\!\!\diagup}=\sqrt7-\sqrt3$

Used:

$(a+b)(a-b)=a^2-b^2$

$(\sqrt{a})^2=a;\ a\geq0$