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 12 Page 75

Think of a number that when multiplied by itself three times results in 27125.

3/5

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 27125. We need to think of a number that when multiplied by itself three times results in 27125. ?^3= 27/125 Since 35 raised to the third power is 27125, the number we are looking for is 35.

(3/5)(3/5)(3/5)
(3/5)^3
3^3/5^3
27/125

This means that the cube root of 27125 is 35. sqrt(27/125) = 3/5