Exponential Roots

Squareroots follow laws similar to laws of exponents, and are useful in rationalizing the denominator
1.ab=a×b1. \;\; \sqrt{ab}=\sqrt a \times\sqrt b
2.ab=ab2. \;\;\sqrt{\frac{a}{b}} = \frac{\sqrt a}{\sqrt b}
3.(a+b)2=a+2ab+b3. \;\; {(\sqrt a + \sqrt b)}^2 = a+2 \sqrt{ab}+b
4.(a+b)(ab)=ab4. \;\; (\sqrt a + \sqrt b) (\sqrt a - \sqrt b) = a-b
5.(a+b)(ab)=a2b5. \;\;(a+\sqrt b) (a-\sqrt b) = a^2 -b
6.(a+b)(c+d)=ac+ad+bc+bd6. \;\; (\sqrt a + \sqrt b)(\sqrt c + \sqrt d) = \sqrt{ac} + \sqrt{ad} + \sqrt{bc} + \sqrt {bd}