[tex]a) \sqrt{361} = \sqrt{19 ^{2} } = 19[/tex]
[tex]b) \sqrt{1020} = \sqrt{2 \times 2 \times 3 \times 5 \times 17} = \sqrt{(2 \times 2) \times 3 \times 5 \times 17} = \sqrt{ {2}^{2} \times 3 \times 5 \times 17 } = 2 \sqrt{3 \times 5 \times 17} = 2 \sqrt{255} [/tex]
[tex]c) \sqrt{72} = \sqrt{2 \times 2 \times 2 \times 3 \times 3} = \sqrt{(2 \times 2) \times (3 \times 3) \times 2} = \sqrt{ {2}^{2} \times {3}^{2} \times 2 } = (2 \times 3) \sqrt{2} = 6 \sqrt{2} [/tex]
[tex]d) \sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3} = \sqrt{(2 \times 2) \times (2 \times 2) \times 3} = \sqrt{ {2}^{2} \times {2}^{2} \times 3 } = (2 \times 2) \sqrt{3} = 4 \sqrt{3} [/tex]
