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Square Roots Videos 13 videos
Number Sense: Drill Set 5, Problem 5. Between which two integers does the square root of 80 lie?
Number Sense: Drill Set 6, Problem 2. The square root of 35 is between which of the following numbers?
ACT Math Intermediate Algebra Drill 2, Problem 2. How else can the expression be written?
GED Math 1.3 Rational Numbers 367 Views
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Description:
GED Math 1.3 Rational Numbers. Which answer best fills in the blank?
Transcript
- 00:00
Thank you We sneak in then here's your smoke du
- 00:05
jour brought to you by fractional exponents Maybe finding a
- 00:09
hobby would make them feel whole again All right so
- 00:13
sixty four to the two thirds is equivalent to the
- 00:17
something root of sixty four square All right so you've
Full Transcript
- 00:24
got a fifty fifty shot here The only choices in
- 00:27
the drop down our square and cube You know we
- 00:30
could flip a coin but well we wore our skinny
- 00:33
jeans today and bad things happen All right This question
- 00:36
wants to know is sixty four to the two thirds
- 00:39
power equivalent to the square root of sixty four squared
- 00:42
or the cube root of sixty four squared We hear
- 00:46
of you always thinking times right All right So let's
- 00:49
consider the first option What's the square root of sixty
- 00:52
four squared isn't just sixty four Yeah go in sixty
- 00:56
four can't be the same Is sixty four to the
- 00:58
two thirds power so it looks like square can be
- 01:02
the right answer That leaves just one option cube but
- 01:06
because we don't like to settle for the process of
- 01:08
elimination Well let's just see why that is well when
- 01:11
dealing with fractional exponents the numerator is the power of
- 01:15
the power and the denominator is the route I don't
- 01:19
have a roof All right Which is why the square
- 01:22
root of sixty four squared comes out to just sixty
- 01:24
for because it's the same as sixty four to the
- 01:27
to over to power which is just one or sixty
- 01:30
four to the first and anything to the first power
- 01:33
is just itself It's like me find one So when
- 01:36
we see sixty four to the two thirds power it's
- 01:39
the same as saying the cube root of sixty four
- 01:42
square that free goes under work And yeah our answer
- 01:47
is definitely cute Unless the question is why can we 00:01:50.336 --> [endTime] no longer feel our legs how it hurts
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It's impressive that these expressions are able to stay so rational even when they're having operations performed on them.