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I don't understand half of these problems.
4. Simplify: √108
A. 6√3
B. 36√3
C. 3√36
D. 9√12
6. Simplify: √(16x4)
A. 4x
B. 4x2
C. √(4x2)
D. 4√x
7. Simplify: √12
A. 4√3
B. 2√3
C. 6√2
D. 2√6
8. The distance between the points (7, 7) and (4, 1) is
A. √5
B. 2√5
C. 3√5
D. 10√5
9. Solve using the distance formula. Find the distance from point A(1, 3) to point B(4,7)
A. 2
B. 3
C. 5
D. 4
11. Solve using the distance formula. Find the distance from point E(-2, -3) to point F(3, 9).
A. 10
B. 11
C. 12
D. 13
12. Use the Pythagorean Theorem to find the length of the missing side of a right triangle whose legs equal √2 and 2√15. ( picture )
A. 64
B. 4 + 2√15
C. 8
D. None of the above
13. Simplify: √24
A. 6√2
B. 2√6
C. 8√3
D. 12√2
14. Simplify: √27
A. 3√3
B. 9√3
C. 3√9
D. 5√3
15. Simplify: √56
A. 2√14
B. 14√2
C. 4√7
D. √8 ·
√7
16. Simplify: √32
A. 4√8
B. 16√2
C. 2√4
D. 4√2
18. Estimate the square root of 60.
A. Between 6 and 7
B. Between 7 and 8
C. Between 8 and 9
D. Between 9 and 10
20. Use the distance formula to find the distance between the points (-3, 2) and (5, -4).
A. 10
B. 14
C. 100
D. 12
[[ As far as the Simplify, I tried it on a calculator and it didn't work. Because there's a different way to do those, and even though I have the notes for them, it's not coming out the way I expected/ ]]
4. Use a factor tree, factor down to 2x3x3x6, since there is two three's take them out of radical to produce nine. Leave the 6x2 in the radical, for twelve.
A: D
6. Multiply 16 and 4, use factor tree to come up with 2x2x2x2x2x2. Pull out three 2's, because there are three pairs.
A: B
7. Factor tree 12, get 2x2x3 Pull out one two.
A: B
