Question

*How do we write the cube of square root of 10 ?* 1️⃣ 10²⁄₃ 2️⃣ 10³⁄₂ 3️⃣ 2¹⁰⁄₃ 4️⃣ 2³⁄₁₀​

Answer 1

To find:

How do we write the cube of square root of $10$

Concept:

Before we solve the given problem, let us understand some Indices Rules clearly.

• Square root of $a$ is denoted by $\sqrt{a}$ and $a^{1/2}$ expresses so.

• Cube of $a$ is denoted by $a^{3}$ because there are three $a's$ in it.

• Cube root of $a$ is denoted by $\sqrt[3]{a}$ and $a^{1/3}$ expresses so. [Extra]

Step-by-step explanation:

Here the number is $10$.

Its square root is $\sqrt{10}=10^{1/2}$.

So, its cube is $(10^{1/2})^{3}=10^{3/2}$.

• Since $(a^{m})^{n}=a^{m\times n}=a^{mn}$

Final answer: 2️⃣ $10^{3/2}$

We write the cube of square root of $10$ as $10^{3/2}$.

Answer 2

Answer:

Step-by-step explanation:

cube of square root of 10  

= root 10 ^3

so 10³⁄₂ is the answer