1.
[tex]a) \sqrt{25} = \sqrt{5*5} = 5\\b) \sqrt{1} = \sqrt{1*1}=1\\c) \sqrt{0,01} = \sqrt{0,1*0,1}=0,1\\d) \sqrt{\frac{16}{81}} = \frac{\sqrt{16}}{\sqrt{81}} = \frac{\sqrt{4*4}}{\sqrt{9*9}} = \frac49\\e) \sqrt{0,36} = \sqrt{\frac{36}{100}} = \frac6{10}\\f) \sqrt{2\frac79} = \sqrt{\frac{25}9} = \frac53=1\frac23[/tex]
[tex]g) \sqrt{121} = \sqrt{11*11} = 11\\h) \sqrt{169} = \sqrt{13*13} = 13[/tex]
2.
[tex]a) \sqrt[3]{27} = \sqrt[3]{3*3*3} = 3\\b) \sqrt[3]{-\frac18} = -\frac1{\sqrt[3]{8}} = - \frac1{\sqrt[3]{2*2*2}}=-\frac12\\c) \sqrt[3]0=0\\d) \sqrt[3]1 = 1\\e) \sqrt[3]{-1} = \sqrt[3]{-1 * (-1) * (-1)} = -1\\f) \sqrt[3]{-8000}=\sqrt[3]{-20*(-20)*(-20)} = -20\\g) \sqrt[3]{0,064} = \sqrt[3]{\frac{64}{1000}}=\frac4{10}\\\\h) \sqrt[3]{1\frac{61}{64}} = \sqrt[3]{\frac{125}{64}} = \frac{5}{4} = 1\frac14[/tex]
