Question

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Answer 1

Răspuns:

a) 44

b) 35

c) 7,2

d) $\frac{6}{13}$

e) $\frac{4}{45}$

f) 51

g) $\frac{1}{7}$

h) 12

Explicație pas cu pas:

a)  $\sqrt{16*121} = \sqrt{4^{2} *11^{2} } = 4*11 = 44$

b)  $\sqrt{49*25} = \sqrt{7^{2} *5^{2} } = 7*5 = 35$

c)  $\sqrt{9*0,36*16} = \sqrt{3^{2} *\frac{36}{100} *4^{2} } = \sqrt{3^{2} *\frac{6^{2} }{10^{2} }*4^{2} } = 3*\frac{6}{10} *4 = \frac{72}{10} = 7,2$

d)  $\sqrt{\frac{36}{169} } = \sqrt{\frac{6^{2} }{13^{2} } } = \frac{6}{13}$

e)  $\sqrt{\frac{1}{81} *\frac{16}{25} } = \sqrt{\frac{4^{2} }{9^{2}*5^{2} } } = \frac{4}{9*5} = \frac{4}{45}$

f)  $\sqrt{17^{2} *3^{2} } = 17*3 = 51$

g)  $\sqrt{\frac{1}{17} } *\sqrt{\frac{17}{49} } = \sqrt{\frac{1*17}{17*49} } = \sqrt{\frac{1}{49} } = \sqrt{\frac{1}{7^{2} } } = \frac{1}{7}$

h)  $\sqrt{3} * \sqrt{48} = \sqrt{3*48} = \sqrt{144} = \sqrt{12^{2} } = 12$