Răspuns:
a) 44
b) 35
c) 7,2
d) [tex]\frac{6}{13}[/tex]
e) [tex]\frac{4}{45}[/tex]
f) 51
g) [tex]\frac{1}{7}[/tex]
h) 12
Explicație pas cu pas:
a) [tex]\sqrt{16*121} = \sqrt{4^{2} *11^{2} } = 4*11 = 44[/tex]
b) [tex]\sqrt{49*25} = \sqrt{7^{2} *5^{2} } = 7*5 = 35[/tex]
c) [tex]\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[/tex]
d) [tex]\sqrt{\frac{36}{169} } = \sqrt{\frac{6^{2} }{13^{2} } } = \frac{6}{13}[/tex]
e) [tex]\sqrt{\frac{1}{81} *\frac{16}{25} } = \sqrt{\frac{4^{2} }{9^{2}*5^{2} } } = \frac{4}{9*5} = \frac{4}{45}[/tex]
f) [tex]\sqrt{17^{2} *3^{2} } = 17*3 = 51[/tex]
g) [tex]\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}[/tex]
h) [tex]\sqrt{3} * \sqrt{48} = \sqrt{3*48} = \sqrt{144} = \sqrt{12^{2} } = 12[/tex]
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Verified answer
Răspuns:
a) 44
b) 35
c) 7,2
d) [tex]\frac{6}{13}[/tex]
e) [tex]\frac{4}{45}[/tex]
f) 51
g) [tex]\frac{1}{7}[/tex]
h) 12
Explicație pas cu pas:
a) [tex]\sqrt{16*121} = \sqrt{4^{2} *11^{2} } = 4*11 = 44[/tex]
b) [tex]\sqrt{49*25} = \sqrt{7^{2} *5^{2} } = 7*5 = 35[/tex]
c) [tex]\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[/tex]
d) [tex]\sqrt{\frac{36}{169} } = \sqrt{\frac{6^{2} }{13^{2} } } = \frac{6}{13}[/tex]
e) [tex]\sqrt{\frac{1}{81} *\frac{16}{25} } = \sqrt{\frac{4^{2} }{9^{2}*5^{2} } } = \frac{4}{9*5} = \frac{4}{45}[/tex]
f) [tex]\sqrt{17^{2} *3^{2} } = 17*3 = 51[/tex]
g) [tex]\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}[/tex]
h) [tex]\sqrt{3} * \sqrt{48} = \sqrt{3*48} = \sqrt{144} = \sqrt{12^{2} } = 12[/tex]