We don't like knocking people down to size, but we do like simplifying radicals. Join us?
|Algebra||Exponents and Radicals|
|Exponents and Radicals||Simplifying Radicals|
|Mathematics and Statistics Assessment||Powers, Roots, and Radicals|
|Number and Quantity||Use properties of rational and irrational numbers|
homework, the instructions tell her to simplify it.
In the case of radicals, simplifying means to find another expression with the same value,
not to find a decimal approximation of the radical.
We start by finding any two factors of 54, numbers that can divide 54 and leave a remainder
of zero. Say...9 and 6. Then continue simplifying until we're only left with prime factors.
We can factor 9 into 3 and 3...and 6 by 3 and 2. No one likes to be lonely...so let's
pair up repeated numbers and take them out of the radical...3 and 3 pair up...and we're
left with 3 and 2. Since they don't have any potential partners, we can just multiply the
numbers back togetherÉ Éleaving us with 3 root 6.
Ah..the simple life.