Question

What is the rationalising factor of ³√250
Please answer fast I will mark as brainliest
Please write correct answer no copy from the net

³√2 is my answer is correct

Answer 1

Answer:

$5 \sqrt[3]{2}$

Step-by-step explanation:

The prime Factorization of 250 is 5×5×5×2

so

5 taken out

so answer is

$5 \sqrt[3]{2}$

I hope it is helpful

Answer 2

The question is What is the rationalising factor of ³√250?

we have to find the rationalising factor of the given number.

The solution to the given question is found by taking the prime factorisation of a given number.

The rational number is obtained while the expression is multiplied with an irrational expression.

It is also called the "rationalising factor".

The prime factorisation of a number which was

$\sqrt[3]{250}$

will be

$2)250 \\ 5)125 \\ 5)25 \\ 5)5$

The prime factor for the given number is obtained as

${5}^{3} \times 2$

Therefore the rationalising factor for a given number is

$\sqrt[3]{250} = \sqrt[3]{ {5}^{3} \times 2 }$

The final answer will be

$5 \times \sqrt[3]{2}$

Hence, the final answer to the given question is found to be

$5 \sqrt[3]{2}$

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