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Number Sense: Drill Set 6, Problem 2. The square root of 35 is between which of the following numbers?
Number Sense: Drill Set 6, Problem 2. The square root of 35 is between which of the following numbers?
Transcript
- 00:03
And here's your shmoop du jour.
- 00:07
The number "square root of 35" is between which of the following numbers?
- 00:12
And here are the potential answers...
- 00:14
Before we spoil the ending and kill all the drama... why not hit pause and try to solve this one yourself first?
- 00:22
So what's this question asking?
Full Transcript
- 00:24
Well, really just whether we have a clue as to the relative size or scale of squares and roots.
- 00:32
Easy to brute force this one.
- 00:34
Look at the potential answers.
- 00:36
Try squaring 3 -- it's 9.
- 00:38
Square 4 -- its 16... so, nope.
- 00:42
The square root of 16 is less than the square root of 35, because 16 is less than 35.
- 00:48
Try B.
- 00:49
We know we need a much bigger 2nd number... so square 5.
- 00:52
It's still not bigger than 35...5 squared is just 25.
- 00:56
So now try 6 in C -- it's 36 -- voila. Answer C.
- 01:02
Because 36 is greater than 35, we know that the square root of 35 is less than the square root of 36.
- 01:10
Of course, this problem could get much more complicated if we were using... extensions.
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