Square Roots
Square Root of 49
+7, -7
List 3 perfect squares
49, 9 , 1, 16, 144 , 100, 25, 36, 81, 64, ...
Is the square root of 3 an irrational number?
Irrational, the result of the square root of 3 is a non-terminating and non-repeating decimal, therefore, it cannot be written as a fraction.
The square root of 13 is between which two numbers?
3 and 4
If x = 2, what is x squared?
4
Square Root of 36
+6, -6
List all perfect squares between 1 and 100
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
Is 3 an irrational number?
3 is rational, since it is terminating and can be written as 3/1, which is a fraction.
The square root of 72 is between which two numbers?
8 and 9
If m = 3, what is m raised to the third power?
27
square root of 121
+11, -11
Describe how to make a list of perfect squares
Multiply two copies of the same base
Why are all whole numbers rational?
All whole numbers can be written as a fraction (they are terminating Ex: 5 as a decimal is 5.0 and as a fraction 5/1)
The square root of 133 is between which two numbers?
11 and 12
If n = 4, what is 2 raised to the nth power?
16
square root of 144
+12, -12
list all of the next two perfect squares after 144
169, 196
Is the square root of (5 + 8) rational?
No, 13 is not a perfect square. The square root of 13 results in a non-terminating decimal, and a non-repeating decimal that cannot be written as a fraction.
Describe in words how you can estimate the square root of an non-perfect square (Ex: 10).
Use your calculator and determine what two numbers the given decimals is in between.
OR
Think of what numbers when multiplied by itself results in a number close to the given number. Ex: 10 - The square root of 10 is between 3 and 4, since 3*3 is 9 and 4*4 = 16.
If x = 4, and y = 3, what is x raised to the yth power?
64
square root of 10,000
+100, - 100
Explain in words why 7 is not a perfect square.
There are no two copies of the same base that when multiplied can result in 7.
Is 27 divided by the square root of 9 rational?
Yes, 9 is a perfect square and a whole number. It can be written as a fraction. Ex: 81/9 , 9/ 1
Which two numbers is the square root of 94 between. Which of those two numbers is it closer to?
9 and 10. It is closer to 10, being 9.6953...
94 is between 81 and 100, but closer to 100, so the square root must be closer to the square root 10 rather than 9.
How do write the expression x raised to the 7th power?
x7