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Sagot :
Para resolver la expresión [tex]\( x \div \left( y \div z \right) \)[/tex]:
1. Primero, identifica los valores dados:
- [tex]\( x = \sqrt{2} \)[/tex]
- [tex]\( y = \sqrt{5} \)[/tex]
- [tex]\( z = \sqrt{8} \)[/tex]
2. Calcula [tex]\(\frac{y}{z}\)[/tex]:
- [tex]\( \frac{y}{z} = \frac{\sqrt{5}}{\sqrt{8}} \)[/tex]
- Simplificando, [tex]\( \frac{\sqrt{5}}{\sqrt{8}} = \sqrt{\frac{5}{8}} \)[/tex]
- Aproximadamente, esto resulta en [tex]\(0.7905694150420948\)[/tex]
3. Luego divide [tex]\( x \)[/tex] por [tex]\(\frac{y}{z}\)[/tex]:
- [tex]\( x \div \left( y \div z \right) = \frac{\sqrt{2}}{\sqrt{\frac{5}{8}}} \)[/tex]
- Dado que [tex]\(\frac{y}{z} \approx 0.7905694150420948\)[/tex], esta división se convierte aproximadamente en:
[tex]\( \frac{\sqrt{2}}{0.7905694150420948} \)[/tex]
- El resultado de esta división es aproximadamente [tex]\(1.788854381999832\)[/tex]
Por lo tanto, el valor de [tex]\( x \div \left( y \div z \right) \)[/tex] es aproximadamente [tex]\(1.788854381999832\)[/tex].
1. Primero, identifica los valores dados:
- [tex]\( x = \sqrt{2} \)[/tex]
- [tex]\( y = \sqrt{5} \)[/tex]
- [tex]\( z = \sqrt{8} \)[/tex]
2. Calcula [tex]\(\frac{y}{z}\)[/tex]:
- [tex]\( \frac{y}{z} = \frac{\sqrt{5}}{\sqrt{8}} \)[/tex]
- Simplificando, [tex]\( \frac{\sqrt{5}}{\sqrt{8}} = \sqrt{\frac{5}{8}} \)[/tex]
- Aproximadamente, esto resulta en [tex]\(0.7905694150420948\)[/tex]
3. Luego divide [tex]\( x \)[/tex] por [tex]\(\frac{y}{z}\)[/tex]:
- [tex]\( x \div \left( y \div z \right) = \frac{\sqrt{2}}{\sqrt{\frac{5}{8}}} \)[/tex]
- Dado que [tex]\(\frac{y}{z} \approx 0.7905694150420948\)[/tex], esta división se convierte aproximadamente en:
[tex]\( \frac{\sqrt{2}}{0.7905694150420948} \)[/tex]
- El resultado de esta división es aproximadamente [tex]\(1.788854381999832\)[/tex]
Por lo tanto, el valor de [tex]\( x \div \left( y \div z \right) \)[/tex] es aproximadamente [tex]\(1.788854381999832\)[/tex].
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