Question

Помагите осо юроосбр гсюо ою ю юо юосюосою юо юомо ою

Answer 1

1.96

1) $\sqrt{27} = \sqrt{9 \times 3} = \sqrt{9} \times \sqrt{3} = 3 \sqrt{3}$

2) $\sqrt{98} = \sqrt{49 \times 2} = \sqrt{49} \times \sqrt{2} = 7 \sqrt{2}$

3) $\sqrt{80} = \sqrt{16 \times 5} = \sqrt{16} \times \sqrt{5} = 4 \sqrt{5}$

4) $\sqrt{160} = \sqrt{16 \times 10} = \sqrt{16} \times \sqrt{10} = 4 \sqrt{10}$

5) $\sqrt{432} = \sqrt{144 \times 3} = \sqrt{144} \times \sqrt{3} = 12 \sqrt{3}$

6) $\sqrt{675} = \sqrt{225 \times 3} = \sqrt{225} \times \sqrt{3} = 15 \sqrt{3}$

7) $3 \sqrt{12} = 3 \times \sqrt{4 \times 3} = 3 \times \sqrt{4} \times \sqrt{3} = 3 \times 2 \times \sqrt{3} = 6 \sqrt{3}$

8) $2 \sqrt{18} = 2 \times \sqrt{9 \times 2} = 2 \times \sqrt{9} \times \sqrt{2} = 2 \times 3 \times \sqrt{2} = 6 \sqrt{2}$

9) $4 \sqrt{24} = 4 \times \sqrt{4 \times 6} = 4 \times \sqrt{4} \times \sqrt{6} = 4 \times 2 \times \sqrt{6} = 8 \sqrt{6}$

10) $7 \sqrt{75} = 7 \times \sqrt{25 \times 3} = 7 \times \sqrt{25} \times \sqrt{3} = 7 \times 5 \times \sqrt{3} = 35\sqrt{3}$

11) $\frac{3}{2} \sqrt{200} = \frac{3}{2} \times \sqrt{100 \times 2} = \frac{3}{2} \times \sqrt{100} \times \sqrt{2} = \frac{3}{2} \times 10 \times \sqrt{2} = \frac{30}{2} \times \sqrt{2} = 15 \sqrt{2}$

12) $0.2 \sqrt{300} = 0.2 \times \sqrt{100 \times 3} = 0.2 \times \sqrt{100} \times \sqrt{3} = 0.2 \times 10 \times \sqrt{3} = 2 \sqrt{3}$

1.97

1) $2 \sqrt{3} = \sqrt{ {2}^{2} \times 3} = \sqrt{4 \times 3} = \sqrt{12}$

2) $5 \sqrt{2} = \sqrt{ {5}^{2} \times 2 } = \sqrt{25 \times 2} = \sqrt{50}$

3) $3 \sqrt{5} = \sqrt{ {3}^{2} \times 5 } = \sqrt{9 \times 5} = \sqrt{45}$

4) $4 \sqrt{7} = \sqrt{ {4}^{2} \times 7 } = \sqrt{16 \times 7} = \sqrt{112}$

5) $\frac{1}{2} \sqrt{8} = \sqrt{ {( \frac{1}{2} )}^{2} \times 8} = \sqrt{ \frac{1}{4} \times 8} = \sqrt{2}$

6) $5 \sqrt{92} = \sqrt{ {5}^{2} \times 92} = \sqrt{25 \times 92} = \sqrt{2300}$

7) $\frac{2}{3} \sqrt{18} = \sqrt{ {( \frac{2}{3} )}^{2} \times 18 } = \sqrt{ \frac{4}{9} \times 18 } = \sqrt{8}$

8) $\frac{3}{4} \sqrt{ \frac{32}{3} } = \sqrt{ {( \frac{3}{4} )}^{2} \times \frac{32}{3} } = \sqrt{ \frac{9}{16} \times \frac{32}{3} } = \sqrt{6}$

9) $5 \sqrt{ \frac{13}{25} } = \sqrt{ {5}^{2} \times \frac{13}{25} } = \sqrt{25 \times \frac{13}{25} } = \sqrt{13}$

10) $0.5 \sqrt{60} = \sqrt{ {(0.5)}^{2} \times 60 } = \sqrt{0.25 \times 60} = \sqrt{15}$

11) $0.3 \sqrt{200} = \sqrt{ {(0.3)}^{2} \times 200 } = \sqrt{0.09 \times 200} = \sqrt{18}$

12) $10 \sqrt{0.07} = \sqrt{ {10}^{2} \times 0.07 } = \sqrt{100 \times 0.07} = \sqrt{7}$