2. 1 2
3
2
1 1= 2
2 4= 2
3 9=
The square of an integer is a
perfect square.
The opposite of squaring a
number is taking the square root.
3. Example
For example
asks what number multiplied by itself is equal
to 81? That number is 9.
Is there another solution to that problem?
81
4. Example
For example
asks what number multiplied by itself is equal
to 81? That number is 9.
Is there another solution to that problem?
Yes, -9 is also a solution.
81
10. Estimating Square Roots
Once you memorized squares and their
roots, we can estimate square roots
that are not perfect squares
For example, what about 8
11. Estimating Square Roots
We find the two perfect squares that are before
and after the square root of 8. . .
and
Look at them on a number line:
4
9
5
4
96 7 832
2 3
12. Estimating square roots
We can see that is between 2 and 3 but
is closer to 3. We would say that is
approximately 3.
4 5 96 7 832
2 3
8
8
13. TRY THIS:
Estimate to the nearest whole number
27
78−
50
Click to the next slide to see if you are right!
15. Rational number- can be written as
a fraction
Irrational number- cannot be written
as a fraction because:
•it is a non-terminating decimal
•it is a decimal that does NOT repeat
* The square roots of ALL perfect
squares are rational.
* The square roots of numbers that are
NOT perfect squares are irrational.
16. Try This: Identify each number as
rational or irrational
2
81−
0.53
0.627
13.875931...
17. Identify each number as rational or
irrational.
2
81−
0.53
0.627
13.875931...
Irrational
Rational
Rational
Rational
Irrational