Root of a Root: Using variables

Complete the following exercise:

$\sqrt{\sqrt{16\cdot x^2}}=$

$2\sqrt{x}$

Complete the following exercise:

$\sqrt[3]{\sqrt{64\cdot x^{12}}=}$

$2x^2$

Complete the following exercise:

$\sqrt{\sqrt{81\cdot x^4}}=$

$3x$

Complete the following exercise:

$\sqrt[]{\sqrt{5x^4}}=$

$\sqrt[4]{5}\cdot x$

Complete the following exercise:

$\sqrt{\sqrt{3x^2}}=$

$\sqrt[4]{3}\cdot\sqrt{x}$

Complete the following exercise:

$\sqrt[8]{\sqrt{x^8}}=$

$\sqrt{x}$

Complete the following exercise:

$\sqrt[4]{\sqrt{100x}}=$

$\sqrt[8]{100x}$

Complete the following exercise:

$\sqrt[3]{\sqrt[3]{512x^{27}}}=$

$2x^3$

Complete the following exercise:

$\sqrt[4]{\sqrt[3]{49\cdot x}}=$

$\sqrt[12]{49x}$

Complete the following exercise:

$\sqrt[6]{\sqrt{25x^6}}$

$\sqrt{x}\cdot\sqrt[12]{25}$

Complete the following exercise:

$\sqrt[3]{\sqrt{144x^3}}=$

$\sqrt[6]{144}\cdot\sqrt{x}$

Complete the following exercise:

$\sqrt[5]{\sqrt{x^{20}}}=$

$x^2$

Comlete the following exercise:

$\sqrt[10]{\sqrt{x^{20}}}=$

$x$

Complete the following exercise:

$\sqrt[6]{\sqrt{x^{12}}}=$

$x$

Solve the following exercise:

$\sqrt{\sqrt{4x^{16}}}=$

$x^2\cdot\sqrt[4]{4}$