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Simplify the radical expression. Assume that all variables represent positive real numbers.

Question : Simplify the radical expression. Assume that all variables represent positive real numbers. : 2151849

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Simplify the radical expression. Assume that all variables represent positive real numbers.

1) √(96)

A) 24

B) 9

C) 6√(4)

D) 4√(6)

2) √(6)

A) √(6)

B) 2

C) 3√(2)

D) 2√(3)

3) √(28)

A) 4√(7)

B) √(28)

C) 14

D) 2√(7)

4) 3√(54)

A) 3(3√(2))

B) 3

C) 6

D) 3(3√(6))

5) 5√(1701)

A) 3(5√(7))

B) 7√(3)

C) 3√(7)

D) 7(5√(3))

6) √(y7)

A) y6√(y)

B) y√(y5)

C) y3√(y)

D) √(y7)

7) 3√(p26)

A) p10

B) 3√p8(p2)

C) 3√p(p23)

D) 3√(p26)

8) 4√(x27)

A) x4√(3)

B) 4√x6(x3)

C) 6√x4(x3)

D) x6√(3)

9) √(12x2y)

A) 2x2√(3y)

B) 2xy√(3)

C) 2x√(3y)

D) 2xy2√(3)

10) √(98x2)

A) 2x2√(7)

B) 7√(2x)

C) 98x

D) 7x√(2)

11) √(162k7q8)

A) 9k7q8√(2k)

B) 9q4√(2k7)

C) 9k3q4√(2)

D) 9k3q4√(2k)

12) 3√(343x4y5)

A) 7xy√(xy2)

B) 7xy(3√(xy))

C) 7xy(3√(xy2))

D) 2xy(3√(xy2))

13) 5√(243x3y22)

A) 3xy4(5√(3xy2))

B) 3y35√(3x3y2)

C) 3y45√(x3y2)

D) 3xy35√(x2y2)

14) 3√(-27a11b13)

A) -3a3b4(3√(a2b))

B) 3 √(a13b11)

C) 3a2b(3√(a3b4))

D) 3ab(3√(a5b4))

15) (√(120)/√(6))

A) (√(720)/6)

B) 2√(5)

C) 6

D) (√(120)/6)

16) (√(x13)/√(25))

A) (x√(x11)/5)

B) (x6 √(x)/5)

C) (x6x/5)

D) (√(x13)/5)

17) (√(63x11)/√(7x))

A) 3x5

B) 3√(x11)

C) 3x5√(7)

D) 3x10

18) 3√(135a4b6)/3√(5a)

A) 3ab2

B) 3a2b4

C) 3ab4(3√(3a2))

D) 3ab2(3√(3ab))

19) 4√(486x17)/4√(6x)

A) 3x4

B) x4(4√(3))

C) 3x4(4√x)

D) x4(4√(6))

20) 3√(20)/3√(2)

A) (1/(3√(2))

B) 3√(2)

C) 3√(10)

D) (1/3√(10)

21) (√(56x5y6)/√(2y4))

A) 2x2y√(7x)

B) 28xy√(x)

C) 4x2y√(7x)

D) 2x4y2√(7xy)

Find the distance between the pair of points.

22) (-3, 1) and (-7, 4)

A) 5 units

B) 10 units

C) 25 units

D) 6 units

23) (2, 3) and (-7, -5)

A) 145 units

B) √(17) units

C) 72 units

D) √(145) units

24) (2, -5) and (6, -7)

A) 2√(5) units

B) 12 units

C) 12√(3) units

D) 6 units

25) (-5, -2) and (7, 2)

A) 128√(2) units

B) 128 units

C) 8 units

D) 4√(10) units

26) (-7, -2) and (3, -6)

A) 2√(29) units

B) 84 units

C) 14 units

D) 84√(21) units

27) (-4√(11), -2) and (-3√(11), 3)

A) √(6) units

B) 36 units

C) 6 units

D) 5 units

28) (3.2, 4.3) and (-6.9, -5.8)

Approximate the distance to two decimal places.

A) 10.76 units

B) 3.99 units

C) 14.28 units

D) 10.21 units

Find the midpoint of the line segment whose endpoints are given.

29) (9, 8), (6, 0)

A) ((15/2), 4)

B) (15, 8)

C) (3, 8)

D) ((3/2), 4)

30) (8, -2), (-1, 1)

A) ((9/2), - (3/2))

B) ((7/2), - (1/2))

C) (9, -3)

D) (7, -1)

31) (-9, -5), (4, 2)

A) (-5, -3)

B) (- (13/2), - (7/2))

C) (- (5/2), - (3/2))

D) (-13, -7)

32) (-8, -4), (9, -5)

A) ((1/2), - (9/2))

B) (1, -9)

C) (- (17/2), (1/2))

D) (-17, 1)

33) (- (5/2), 1), (4, - (9/5))

A) (- (13/4), (7/5))

B) ((3/2), - (4/5))

C) ((13/4), - (7/5))

D) ((3/4), - (2/5))

34) (7√(6), 8√(2)), (10√(6), 11√(2))

A) (17√(6), 19√(2))

B) ((17√(6)/2), (19√(2)/2))

C) ((-3√(6)/2), (-3√(2)/2))

D) ((3√(6)/2), (3√(2)/2))

35) (-4.1, -2.3), (7.8, 9.1)

A) (-1.85, 3.4)

B) (1.85, -3.4)

C) (-5.95, -5.7)

D) (1.85, 3.4)

Solution
5 (1 Ratings )

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Algebra 2 Months Ago 26 Views
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