Question

va rogg ajutati-ma !!!​

Answer 1

Răspuns:

a)

$\sqrt{16 \times 81 \times 25 } = \sqrt{16} \times \sqrt{81} \times \sqrt{25} = \sqrt{4 {}^{2} } \times \sqrt{9 {}^{2} } \times \sqrt{ {5}^{2} } = 4 \times 9 \times 5 = 180$

b)

$\sqrt{25 \times 49 \times 100} = \sqrt{25} \times \sqrt{49} \times \sqrt{100} = \sqrt{ {5}^{2} } \times \sqrt{ {7}^{2} } \times \sqrt{ {10}^{2} } = 5 \times 7 \times 10 = 350$

c)

$\sqrt{4 \times 121 \times 400} = \sqrt{4} \times \sqrt{121} \times \sqrt{400} = \sqrt{ {2}^{2} } \times \sqrt{ {11}^{2} } \times \sqrt{ {20}^{2} } = 2 \times 11 \times 20 = 440$

d)

$- \sqrt{100 \times 81 \times 169} = \sqrt{100} \times \sqrt{81} \times \sqrt{169} = \sqrt{ {10}^{2} } \times \sqrt{ {9}^{2} } \times \sqrt{ {13}^{2} } = 10 \times 9 \times 13 = 1170$

e)

$\sqrt{9 \times 64 \times 0.25} = \sqrt{9} \times \sqrt{64} \times \sqrt{0.25} = \sqrt{ {3}^{2} } \times \sqrt{ {8}^{2} } \times \sqrt {0.5}^{2} = 3 \times 8 \times 0.5 = 12$

f)

$\sqrt{0.36 \times 2.25 \times 144} = \sqrt{0.36} \times \sqrt{2.25} \times \sqrt{144} = \sqrt{ {0.6}^{2} } \times \sqrt{ {1.5}^{2} } \times \sqrt{ {12}^{2} } = 0.6 \times 1.5 \times 12 = 10.8$

g)

$\sqrt{1.21 \times 0.09 \times 0.01} = \sqrt{1.21} \times \sqrt{0.09} \times \sqrt{0.01} = \sqrt{ {1.1}^{2} } \sqrt{ {0.3}^{2} } \times \sqrt{ {0.1}^{2} } = 1.1 \times 0.3 \times 0.1 = 0.033$

h)

$\sqrt{ \frac{25}{81} \times \frac{16}{49} \times \frac{196}{9} } = \sqrt{ \frac{25}{81} } \times \sqrt{ \frac{16}{49} } \times \sqrt{ \frac{196}{9} } = \sqrt{ \frac{ {5}^{2} }{{9}^{2} } } \times \sqrt{ \frac{ {4}^{2} }{ {7}^{2} } } \times \sqrt{ \frac{ {14}^{2} }{ {3}^{2} } } = \frac{5}{9} \times \frac{4}{7} \times \frac{14}{3} = \frac{40}{27}$

Answer 2

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