1. Irrational Numbers
By Group 3 Members:
Joshua Shajee
Venkat Sai (Leader)
Vignesh Kini
Lester Joel
Mayur Mahendra
Mir Khumail Ali
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?
Yes, -9 is also a solution.
81
6. 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
7. 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 5
94
96 7 832
2 3
8. • We can see that is between 2 and 3 but
is closer to 3. We would say that is approximately 3.
Estimating square roots
4 5 96 7 832
2 3
8
8
10. • 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.
11. Identify each number as rational or
irrational.
2
81
0.53
0.627
13.875931...
Irrational
Rational
Rational
Rational
Irrational