we got an approximation to the value of √15, which we now know is larger than 3 and smaller than 4.
How to approximate the square root of 15?
First, we want to find two numbers, such that the two numbers are perfect squares, and that one is larger than 15 and the other smaller.
The two we can use are
9 as the smaller one and 16 as the larger one.
Then we can write:
9 < 15 < 16
Now we apply the square root in the 3 sides of the inequality, so we get:
√9 < √15 < √16
Now we simplify the square roots, remember that:
3*3 = 9
4*4 = 16
Then:
√9 < √15 < √16
is equivalent to:
3 < √15 < 4
In that way, we got an approximation to the value of √15, which we now know is larger than 3 and smaller than 4.
If you want to learn more about square roots:
https://brainly.com/question/98314
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