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Write the given terms as like radicals, if possible. If any variables exist, assume that they are positive.

Question : Write the given terms as like radicals, if possible. If any variables exist, assume that they are positive. : 2163684

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

Write the given terms as like radicals, if possible. If any variables exist, assume that they are positive.

1) √(15), √(20)

A) 5√(15), 5√(20)

B) √(5), 2√(5)

C) 3√(5), 4√(5)

D) Not possible

2) √(5), √(20), √(45)

A) √(5), 2√(5), 3√(5)

B) √(5), 4√(5), 9√(5)

C) 2√(5), 3√(5), 4√(5)

D) Not possible

3) √(4xy), √(4y2)

A) 4x√(y), 4y√(y)

B) x√(4y), y√(3y)

C) xy√(4), y2√(3)

D) Not possible

4) 3√(27xy), 3√(x4y4)

A) 3√9(xy), 3√xy(xy)

B) 3√3(xy), 3√xy(xy)

C) 3√9(x2y2), 3√xy(x2y2)

D) Not possible

If possible, simplify the expression. If any variables exist, assume that they are positive.

5) √(9 ) + √(9 )

A) 6

B) √(6)

C) 3

D) 3√(2)

6) √(4) - √(121)

A) - 3

B) -9

C) -4.5

D) - 3√(13)

7) 9√(7) + 6√(7)

A) 15√(14)

B) 105

C) 15√(7)

D) 54√(7)

8) -20√(13) - 13√(13)

A) -33√(13)

B) 8√(13)

C) -7√(13)

D) 32√(13)

9) 3√(6) - 9√(24)

A) -21√(6)

B) -6√(6)

C) 15√(6)

D) -15√(6)

10) √(5x) + 7√(45x) + 3√(20x)

A) 11√(70x)

B) 28√(5x)

C) 27√(5x)

D) 10√(70x)

11) 5√(32x2) - 2√(18x2) - √(2x2)

A) 14x√(2)

B) 2x√(14)

C) 3x√(14)

D) 13x√(2)

12) 4√(x3) - √(x)

A) 4x√(x) - 1

B) (x -1)√(x)

C) 4(x -1)√(x)

D) (4x -1)√(x)

13) √(4x + 12) + √(x + 3)

A) 2√(x + 3)

B) √(5x + 15)

C) 3x√( 3)

D) 3√(x + 3)

14) 3√7(3) + 3√11(3)

A) 3√18(9)

B) 3√(3)

C) 3√18(3)

D) 3√18(6)

15) 4√8(x7) - 4√2x(x3)

A) 4√8(x7) - 4√2x(x3)

B) 4√10(x3)

C) 4√6x(x7)

D) 3√6x(x3)

16) 3√5(a) + 3√(27a)

A) 3√15(a)

B) 3√5(a) + 3√(27a)

C) 3√6(27a)

D) 3√8(a)

17) 3√5(125x) + 5(8x)

A) 35x

B) 3√5(133x)

C) 3√35(x)

D) 3√7(x)

18) 3√5(m7p5) - 3√3m2p(mp2)

A) 3√8mp2(mp2)

B) 2

C) 3√2m2p(mp2)

D) Not possible

19) 11√6(x12y) - 11√5x(xy)

A) 11√(6 - 5x)(xy)

B) 11√2x(xy)

C) 11√x(xy)

D) Not possible

20) 3√20(2) -3√3(54)

A) 3√17(2)

B) 3√11(2)

C) 3√-11(2)

D) Not possible

Solution
5 (1 Ratings )

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Algebra 1 Year Ago 313 Views
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