Question

1.91. Найдите значение корня: ​

Answer 1

Ответ:

1) 88

2) 4,2

3) 3,5

4) 3,25

5) 9

6) 0,24

7) 0,533

8) 1,833

Объяснение:

1)

$\sqrt{121 \times 64} = \sqrt{121} \times \sqrt{64} = \\ = 11 \times 8 = 88$

2)

$\sqrt{0.36 \times 49} = \sqrt{0.36} \times \\ \times \sqrt{49} = 0.6 \times 7 = 4.2$

3)

$\sqrt{12 \frac{1}{4} } = \sqrt{ \frac{49}{4} } = \\ = \frac{ \sqrt{49} }{ \sqrt{4} } = \frac{7}{2} = 3.5$

4)

$\sqrt{10 \frac{9}{16} } = \sqrt{ \frac{169}{16} } = \\ = \frac{ \sqrt{169} }{ \sqrt{16} } = \frac{13}{4} = 3.25$

5)

$\sqrt{0.04 \times 81 \times 25} = \\ = \sqrt{0.04} \times \sqrt{81} \times \sqrt{25} = \\ = 0.2 \times 9 \times 5 = 9$

6)

$\sqrt{0.09 \times 16 \times 0.04} = \\ = \sqrt{0.09} \times \sqrt{16} \times \sqrt{0.04} = \\ = 0.3 \times 4 \times 0.2 = 0.24$

7)

$\sqrt{1 \frac{7}{9} \times \frac{4}{25} } = \sqrt{ \frac{16}{9} \times \frac{4}{25} } = \\ = \sqrt{ \frac{64}{225} } = \frac{ \sqrt{64} }{ \sqrt{225} } = \\ = \frac{8}{15} = 0.533$

8)

$\sqrt{ \frac{121}{144} \times 2 \frac{1}{4} } = \sqrt{ \frac{121}{144} \times \frac{9}{4} } = \\ = \sqrt{ \frac{1089}{576} } = \frac{ \sqrt{1089} }{ \sqrt{576} } = \\ = \frac{33}{24} = \frac{11}{6} = 1.833$