# CAHSEE Math 6.2 Number Sense

Number Sense: Drill Set 6, Problem 2. The square root of 35 is between which of the following numbers?

 Algebra Square Roots CAHSEE Math Number Sense Language English Language Number Sense Square roots Properties of Numbers Integers

### 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

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.