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Calculati :

[tex]a) \sqrt{1.44} \: + \sqrt{50 - {5}^{2} } = [/tex]
[tex]b)2 \times \sqrt{3} \: \times 5 \times \sqrt{13} = [/tex]


Răspuns :

[tex]a) \sqrt{1.44} + \sqrt{50 - {5}^{2} } [/tex]

[tex] = \sqrt{ \frac{144}{100} } + \sqrt{50 - 25} [/tex]

[tex] = \frac{ \sqrt{144} }{ \sqrt{100} } + \sqrt{25} [/tex]

[tex] = \frac{12}{10} + 5[/tex]

[tex] = \frac{6}{5} + 5[/tex]

[tex] = \frac{6}{5} + \frac{25}{5} [/tex]

[tex] = \frac{6 + 25}{5} [/tex]

[tex] = \frac{31}{5} [/tex]

[tex]b)2 \times \sqrt{3} \times 5 \times \sqrt{13} = 2 \times 5 \sqrt{3 \times 13} = 10 \sqrt{39} [/tex]

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