2. Find the cube roots of the following cubic numbers by prime factorisation. a. 343 b. 3375 c. 13824 d. 4.096 e. \( \frac{1331}{2744} \) f. \( \frac{-216}{35937} \) g. -5832 h. -0.001
Added by Daniel P.
Close
Step 1
343: The prime factorisation of 343 is 7*7*7. So, the cube root of 343 is 7. b. 3375: The prime factorisation of 3375 is 3*3*3*5*5*5. So, the cube root of 3375 is 3*5 = 15. c. 13824: The prime factorisation of 13824 is 2*2*2*2*2*2*17*17*17. So, the cube root of Show more…
Show all steps
Your feedback will help us improve your experience
Hemraj Kumawat and 97 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The number $a$ is the cube root of a number $b$ if $a^{3}=b$. For example, the cube root of 8 is 2 because $2^{3}=8 .$ Find the cube root of each number. a. 64 b. 1000 c. 343 d. 2197
Foundations for Algebra
Real Numbers and the Number Line
Find the prime factorization of each of these integers. a) 88 b) 126 c) 729 d) 1001 e) 1111 f) 909,090
Arjun S.
Suman Saurav T.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD