Question

1.

0.89 is the square root of what value?
a.9
b.89
c.0.7921
d.0.9434

2.
The square root of a number is between 8 and 9. Which of the following could be the value of that number? Select all that apply.
a.8.6
b.74
c.80
d.81.5

3.
What value is the cube root of 27?
a.4
b.5
c.3
d.6

4.
The cube root of a number is between 2 and 3. Which of the following could be the value of that number?
a.5
b.29
c.35
d.10

Answer 1

1. To find what value 0.89 is the square root of, we need to bring 0.89 to the power of two (we need to square it). 0.89 squared is 0.7921, which means that the answer is C.

2. If a square root of a number is between 8 and 9, that means that number is between 8 squared and 9 squared. 8 squared is 64, and 9 squared is 81, so that means that the number is between 64 and 81. All possible answers that fit this are B and C.

3. The cube root of 27 is the number that, when multiplied three times, will make 27. So, the number that does that is C, 3.

4. Like in number two, if the cube root of a number is between two values, the number is between the values squared. In this case, the number is between 4 and 9, so the only value that fits that definition is A, 5.

Answer 2

Problem One
The answer is 0.89^2
0.89^2 = 0.7921

Put this into your calculator like this.
0.89
x^2 or ^2 which ever you have.
=

Problem 2
74^(1/2) = 8.9 Check this one.
80^(1/2) = 8.944 just barely
81.5 ^(1/2) = more than 9. It does not fit.
8.6 has a square root of just under 3. It's too small.

Note to get a square root between 8 and 9 you need numbers between 64 and 81. Any number outside this range does not have a square root between 8 and 9.

Problem Three
Short answer 3.
3 * 3 * 3 = 27

You could do it like this.
27 ^ 0.33333333333 =
3
y^x ^ x^y are all equal. Those keys do the same thing.

Problem Four
2 cubed = 2 * 2 * 2=8
3 cubed = 3 * 3 * 3 = 27

Any number between these 2 will by your answer.
Answer D