Question

this is the question pls find the answer​

Answer 1

Answer:

Main Aim:

To evaluate the question:

$\huge\sqrt[3]{ \frac{9261}{8000} }$

Required Answer:-

$\huge\frac{21}{20}$

Explanation:--

• Here, at first we have to find the cubes of 9261 and then, 8000.
• We can see that we get.... (See attachment 1 & 2)
• We can see:

1. 9261 = 3×3×3×7×7×7
2. 8000 = 2×2×2×2×2×2×5×5×5

• We have found three pair of numbers.
• Hence we got the cube root of 9261 = 3×7 = 21
• And then, 8000 = 2×2×5 = 20.
• Then, we got the value.

Answer 2

The answer is $\sqrt[3]{\frac{9261}{8000} }$ = $\frac{21}{20}$

Given,

$\sqrt[3]{\frac{9261}{8000} }$

To find,

The cube root of $\sqrt[3]{\frac{9261}{8000} }$

Solution,

Cube root:

• It can be found by a very simple method which is the prime factorization method.

• It is denoted by the "∛ " symbol.

• The following steps should be done in order to find the cube root of a number.

• Firstly, start with the prime factorization of the given number.

• Divide the factors obtained into groups containing three same factors.

• Remove the cube root symbol and multiply the factors to get the answer.

• Formula to calculate the cube root is given:

       Cube root of x = ∛x = ∛(y × y × y) = y

       where x is the number

       y is the cube root of any number x

       for,

       $\sqrt[3]{\frac{9261}{8000} }$

• Find the cube root of 9261 and 8000 and then divide the results.

• Prime factorization of 9261= 3×3×3×7×7×7

$3\sqrt{9261}$ = 3 x 7 = 21

8000 = 2×2×2×2×2×2×5×5×5

$\sqrt[3]{8000}$ = 2 x 2 x 5 = 20

Hence,

$\sqrt[3]{\frac{9261}{8000} }$ = $\frac{21}{20}$

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