Question

*∛1.728 ÷ 2.4 = ?*

1️⃣ 0.72
2️⃣ 1.2
3️⃣ 0.6
4️⃣ 0.5​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

∛1.728 ÷ 2.4 = ?*

1. 0.72

2. 1.2

3. 0.6

4. 0.5

EVALUATION

$\displaystyle \sf{ \sqrt[3]{1.728} \div 2.4 }$

$\displaystyle \sf{ = \frac{\sqrt[3]{1.728}}{2.4} }$

$\displaystyle \sf{ = \frac{\sqrt[3]{1.2 \times 1.2 \times 1.2}}{2.4} }$

$\displaystyle \sf{ = \frac{1.2}{2.4} }$

$\displaystyle \sf{ = } \frac{1}{2}$

= 0.5

FINAL ANSWER

Hence the correct option is 4. 0.5

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Answer 2

Given :- *∛1.728 ÷ 2.4 = ?*

1️⃣ 0.72

2️⃣ 1.2

3️⃣ 0.6

4️⃣ 0.5

Answer :-

solving LHS,

→ ∛1.728 ÷ 2.4

→ (1.728)^(1/3) ÷ (24/10)

→ (1728/1000)^(1/3) ÷ (24/10)

→ {(12 * 12 * 12) / (10 * 10 * 10)}^(1/3) ÷ (24/10)

→ {(12/10) * (12/10) * (12/10)}^(1/3) ÷ (24/10)

→ {(12/10)³}^(1/3) ÷ (24/10)

using :-

• (a^m)^n = a^(mn)

→ (12/10)^(3 * 1/3) ÷ (24/10)

→ (12/10) ÷ (24/10)

→ (12/10) * (10/24)

→ (1/2)

→ 0.5 (Option 4) (Ans.)

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