Surds (Radicals)

Simplify:

${\left(\sqrt{3}-\sqrt{2}\right)}^2$

Simplify:

$\left(3+\sqrt{2}\right)\left(4+\sqrt{7}\right)$

Simplify:

$\frac{\sqrt[4]{243}}{\sqrt[4]{3}}$

Simplify:

$\sqrt[5]{16}\times \sqrt[5]{2}$

$3\sqrt{7}-2\sqrt{7}=\sqrt{7}$

State with reason whether $\sqrt{3+\sqrt{2}}$ is surd or not. 

State with reason whether $\sqrt{\mathrm{\pi }}$ is surd or not. 

State with reason whether $\sqrt[3]{-125}$ is surd or not. 

State with reason whether $\sqrt[3]{25} .\sqrt[3]{40}$ is surd or not. 

State with reason whether $\sqrt[3]{64}$ is surd or not. 

State with reason whether $\sqrt[5]{128}$ is surd or not. 

State with reason whether $\sqrt[4]{27}$ is surd or not. 

State with reason whether $\sqrt{180}$ is surd or not.