Find the square root of 0.1764.

$0.1764 = \dfrac{1764}{10000}\\[1em] \sqrt{\dfrac{1764}{10000}} = \dfrac{\sqrt{1764}}{\sqrt{10000}}\\[1em] = \dfrac{\sqrt{(2\times2)\times(3\times3)\times(7\times7)}}{\sqrt{(2\times2)\times(2\times2)\times(5\times5)\times(5\times5)}}\\[1em] = \dfrac{2\times3\times7}{2\times2\times5\times5}\\[1em] = \dfrac{42}{100}\\[1em] = 0.42$

$\sqrt{0.1764} = 0.42$