Question

What is the smallest number
by which 175 should be
multiplied to get a perfect cube?

Answer 1

Answer:

245

Step-by-step explanation:

175/5=35

35/5=7

7/7=1

7*7*5=245

Answer 2

Step-by-step explanation:

Factors of 175 are 5×5×7

175=5×5×7

As we can see that none of them(5 and 7) is in pairs...we will multiply both sides by 5×7×7

175×5×7×7=5×5×5×7×7×7

42875= 5×5×5×7×7×7

42875= 5³×7³

$\sqrt{42875 = } 5 \times 7$

$\sqrt{4275} = 35$

therefore, we will multiply 175 by 245 to get a perfect cube

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