Radicalul și puterea a doua se elimina reciproc
[tex] \green{ \huge \boxed{\sqrt{x {}^{2} } = x}}[/tex]
[tex] \sqrt{x {}^{3} } = x \sqrt{x} \\ \sqrt{x {}^{4} } = x {}^{2} \\ \sqrt{ {x}^{5} } = {x}^{2} \sqrt{5} \\ ......... [/tex]
Exemplu:
[tex] \sqrt{49} = \sqrt{ {7}^{2} } = 7[/tex]
[tex] \sqrt{8} = \sqrt{2 {}^{3} } = \sqrt{2 {}^{2} \times 2} = \\ = \sqrt{2 {}^{2} } \times \sqrt{2} = \\ = 2 \sqrt{2} [/tex]
[tex] \sqrt{ {5}^{4} } = \sqrt{5 {}^{2} \times 5 {}^{2} } = \\ = \sqrt{5 {}^{2} } \times \sqrt{5 {}^{2} } = \\ = 5 \times 5 = 25[/tex]
[tex] \sqrt{1000} = \sqrt{10 {}^{3} } = \sqrt{10 {}^{2} \times 10 } = \\ = \sqrt{10 {}^{2} } \times \sqrt{10} = \\ = 10 \sqrt{10} [/tex]
