Question

*∛1.728 ÷ 2.4 = ?*

1️⃣ 0.72
2️⃣ 1.2
3️⃣ 0.6
4️⃣ 0.5​

Answer 1

Answer:

4 no correct because cube root od 1.728 equal to 1.2 and then divide 2.4 equal 0.5

Answer 2

Answer:

4️⃣ 0.5 ✓

Step-by-step explanation:

To find the value of (∛1.728 ÷ 2.4), first we have to find out the value of ∛1.728

so

$\sqrt[3]{1.728} \\ = \sqrt[3]{ \frac{1728}{1000} } \\ = \sqrt[3]{ \frac{12 \times 12 \times 12}{10 \times 10 \times 10} } \\ = \sqrt[3]{ \frac{ {12}^{3} }{ {10}^{3} } } \\ = \frac{12}{10} = 1.2$

hence ∛1.728 = 1.2, now we will find the value of 1.2 ÷ 2.4 (because ∛1.728 = 1.2)

$1.2 \div 2.4 \\ = \frac{12}{10} \div \frac{24}{10} \\ = \frac{12}{10} \times \frac{10}{24} \\ = \frac{12 \times 10}{10 \times 24} \\ = \frac{120}{240} \\ = \frac{120 \div 120}{240 \div 120} \\ = \frac{1}{2} = 0.5$

Hence the answer is 0.5

hope it helps.