Question

8. Si A es DP a
DP a VBcalcula a + b.
2
4
A
a
b
24
B
81​

Answer 1

RESOLUCIÓN:

$A \: \: \: DP \: \: \: \sqrt[3]{B}$

$a \times \sqrt[3]{81} = 2 \times \sqrt[3]{24} = 4 \times \sqrt[3]{b}$

$a \times \sqrt[3]{81} = 2 \times \sqrt[3]{24} \\ \frac{a}{2} = \frac{ \sqrt[3]{24} }{ \sqrt[3]{81}} \\ \frac{a}{2} = \frac{2}{3} \\ 3a = 4 \\ a = \frac{4}{3}$

$2 \times \sqrt[3]{24} = 4 \times \sqrt[3]{b} \\ \frac{ \sqrt[3]{24} }{ \sqrt[3]{b} } = \frac{4}{2} \\ \frac{ \sqrt[3]{24} }{ \sqrt[3]{b} } = 2 \\ \sqrt[3]{b} = 2 \sqrt[3]{b} \\ 2 \sqrt[3]{3} = 2 \sqrt[3]{b} \\ 3 = b$

RESPUESTA:

$a + b = \frac{4}{3} + 3 = \frac{13}{3}$