1.

1. [tex]\sqrt{132} =\sqrt{4*33} = 2\sqrt{33}[/tex]
2. [tex]\sqrt{252} = \sqrt{36*7} = 6\sqrt{7}[/tex]
3. [tex]\sqrt{19a^{2}b^{2} } =\sqrt{19} ab[/tex]

2.

1. [tex]13\sqrt{3} =\sqrt{3*13^{2} } =\sqrt{3*169} = \sqrt{507}[/tex]
2. [tex]20\sqrt{2} = \sqrt{20^{2}*2} = \sqrt{800}[/tex]
3. [tex]5cd\sqrt{7c} = \sqrt{5^{2}*7c^{3}d^{2} } =\sqrt{175c^{3}d^{2}}[/tex]

3.

[tex]4\sqrt{44} - 5\sqrt{99} +2\sqrt{11} = 4\sqrt{4*11} - 5\sqrt{9 *11} +2\sqrt{11} = 8\sqrt{11}-15\sqrt{11}+2\sqrt{11} = -5\sqrt{11}[/tex]

[tex]...=(\sqrt{7} - \sqrt{4*7} )*\sqrt{7} - (3\sqrt{10} -2\sqrt{4*10} )*\sqrt{10} = \\(\sqrt{7} - 2\sqrt{7} )*\sqrt{7} - (3\sqrt{10} -4\sqrt{10} )*\sqrt{10}=\\-\sqrt{7} *\sqrt{7} -(-\sqrt{10} )*\sqrt{10} = \\-7 + \sqrt{10} *\sqrt{10} = -7+10 = 3[/tex]

4.

1. [tex]10 \sqrt{2} =20\sqrt{\frac{1}{2}}[/tex]
2. [tex]0,6\sqrt{2} > 0,3\sqrt{5}[/tex]

[tex]10 \sqrt{2} =20\sqrt{\frac{1}{2}}\\20\sqrt{\frac{1}{2}}=\sqrt{\frac{1}{2}*400} =\sqrt{\frac{400}{2}} = \sqrt{200} = \sqrt{2*100} = 10\sqrt{2}[/tex]

[tex]0,6\sqrt{2} > 0,3\sqrt{5}\\\\0,6\sqrt{2} = \sqrt{2*0,6^{2} } = \sqrt{2*0,36 }=\sqrt{0,72} \\\\0,3\sqrt{5} = \sqrt{5*0,09} =\sqrt{0,45}[/tex]