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Algebra Videos 351 videos

Simplifying Radicals
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We don't like knocking people down to size, but we do like simplifying radicals. Join us?

Arithmetic Math
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Simplifying Radicals 9741 Views


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Description:

We don't like knocking people down to size, but we do like simplifying radicals. Join us?

Language:
English Language

Transcript

00:04

Simplifying Radicals, a la Shmoop. Blossom the hippie misses the good ol' simple

00:09

life. Everything nowadays is too complicated. ( Todd, maybe add more storyline here?)

00:13

She wishes everything were simplified. So even though sometimes things like the inside

00:15

of her computer shouldn't be simplified, she still does it.

00:15

Thankfully though, on her math homework, when she sees the number root 54 scribbled on her

00:19

homework, the instructions tell her to simplify it.

00:23

In the case of radicals, simplifying means to find another expression with the same value,

00:29

not to find a decimal approximation of the radical.

00:33

We start by finding any two factors of 54, numbers that can divide 54 and leave a remainder

00:44

of zero. Say...9 and 6. Then continue simplifying until we're only left with prime factors.

00:51

We can factor 9 into 3 and 3...and 6 by 3 and 2. No one likes to be lonely...so let's

01:07

pair up repeated numbers and take them out of the radical...3 and 3 pair up...and we're

01:16

left with 3 and 2. Since they don't have any potential partners, we can just multiply the

01:31

numbers back togetherÉ Éleaving us with 3 root 6.

01:36

Ah..the simple life.

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