How do I simplify the cubed root of 27,000?
http://www.google.com/search?source=ig&hl=en&rlz=1G1GGLQ_ENUS374&q=27%2C000%5E3&aq=f&aqi=h1&aql=&oq=&gs_rfai=C09wipsL9S_7EMJzGhgSDq_DACAAAAKoEBU_QiR0m
cuberoot(27000)
= cuberoot(27)xcuberoot(1000)
= 3x10 = 30
To simplify the cubed root of 27,000, you need to find the largest perfect cube that divides it. Here's how you can do it step-by-step:
1. Prime factorize the number 27,000 to find its prime factors:
27,000 = 2^3 * 3^3 * 5^3
2. Group the prime factors into groups of three because you are taking the cubed root:
27,000 = (2^3 * 3^3 * 5^3) = (2*3*5)^3 = 30^3
3. Simplify the cubed root of the perfect cube:
∛27,000 = ∛(30^3) = 30
Therefore, the cubed root of 27,000 simplifies to 30.