Glencoe Math: Course 3, Volume 1
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Glencoe Math: Course 3, Volume 1 View details
8. Roots
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Exercise 31 Page 77

Think of a number that when multiplied by itself three times results in - 343.

- 7

Practice makes perfect

The cube root of a number a is another number b if b multiplied by itself three times is a. This means that if b is the cube root of a, then b raised to the third power results in a. Let's see some examples of this. sqrt(a)= b because b^3= a [0.8em] c|c sqrt(- 8)= - 2 & sqrt(27)= 3 because( - 2)^3= - 8 & because 3^3= 27 We will now find the cube root of - 343. We need to think of a number that when multiplied by itself three times results in - 343. ?^3= - 343 Since - 7 raised to the third power is - 0.125, the number we are looking for is - 343.

(- 7)(- 7)(- 7)
(- 7)^3
- 343

This means that the cube root of - 343 is - 7. sqrt(- 343) = - 7