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Describe how the graphs of square root and cube root functions are similar and how they are different. Explain why they are different.

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Answer:

solution

similarity

  • The square root of a number x is that number which when multiplied by itself gives the number x itself. For example, the square root of 4 is 2. The cube root of a number is a number which when multiplied thrice gives you an original number. For example, the cube root of 9 is 3.

difference

  • The cube root of a number is the number which when multiplied by itself three times give you the original number. As an example, the cube root of 27 is 3 because 3×3×3 = 27.

  • The square root of a number is the number which when multiplied by itself twice give you the original number. As an example, the square root of 9 is 3 because 3×3 = 9.