Question

calcule o valor de cada expressão
a)
$\sqrt{25 - \sqrt{49} }$

b)
$- \sqrt{100 - \sqrt[3]{1000} }$

c)
$\sqrt{0.04} + \sqrt{0.36}$

d)
$\sqrt[3]{8} + \sqrt[4]{81}$

e)
$\sqrt{169 - \sqrt{144} }$

f)
$\sqrt[3]{ - 27} - \sqrt[3]{ - 1}$
darei 25 pontos

Answer 1

a) $\sqrt{25 - \sqrt{49} } = \sqrt{25 - 7} = \sqrt{18} = 3 \sqrt{2}$

b) $- \sqrt{100 - \sqrt[3]{1000} } = - \sqrt{100 - 10} = \times \sqrt{90} = - 3 \sqrt{10}$

c) $\sqrt{0.04} + \sqrt{0.36} = \sqrt{ \frac{1}{25} } + \sqrt{ \frac{9}{25} } = \frac{1}{5} + \frac{3}{5} = \frac{4}{5}$

d) $\sqrt[3]{8} + \sqrt[4]{81} = 2 + 3 = 5$

e) $\sqrt{169 - \sqrt{144} } = \sqrt{169 - 12} = \sqrt{157}$

f) $\sqrt[3]{ - 27} - \sqrt[3]{ - 1} = - 3 - ( - 1) = - 3 + 1 = - 2$