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serious [3.7K]
2 years ago
15

When asked to write the prime factorization of 175, a student wrote 7 dotmath 25. Complete the explanation of the error and ente

r the correct answer.
Mathematics
2 answers:
tiny-mole [99]2 years ago
4 0

Answer:

175 = 7·5·5

Step-by-step explanation:

A student asked to write a prime factorization of 175. He wrote 7·25

The prime factorization of 175 will be given by :

It means, he has written it wrong as 7·25. It should be 7·5·5.

Hence, this is the required solution.

Alenkasestr [34]2 years ago
3 0

Answer:

175 = 7·5·5

Step-by-step explanation:

A student asked to write a prime factorization of 175. He wrote 7·25

The prime factorization of 175 will be given by :

175=7\times 5\times 5

It means, he has written it wrong as 7·25. It should be 7·5·5.

Hence, this is the required solution.

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For this case we have the following equation:

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We must find the value of "x":

We apply cube root on both sides of the equation to eliminate the exponent:

x = \sqrt [3] {375}

We can write 375 as 5 ^ 3 * 3

So:

x = \sqrt [3] {5 ^ 3 * 3}\\x = 5 \sqrt [3] {3}

Then, the correct options are:

x = \sqrt [3] {375}\\x = 5 \sqrt [3] {3}

Answer:

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