Free Printable MATH RADICALS MONTHLY EXAM JOSHUA 9

1.

$2\ \sqrt{7}\ -5\ \sqrt{7}$

a)

$3\sqrt{7}$

b)

$-3\sqrt{7}$

c)

$7\sqrt{7}$

2.

$2\sqrt{8}\ +\ 3\sqrt{2}$

a)

$4\sqrt{2}$

b)

$7\sqrt{2}$

c)

$5\sqrt{2}$

3.

$5\sqrt{6}\ +\ 8\ \sqrt{6}-\ 3\sqrt{6}$

a)

$10\sqrt{6}$

b)

$16\sqrt{6}$

c)

$\sqrt{6}$

4.

$_3\sqrt{81}\ +\ _3\sqrt{3}$

a)

$4_{\ \ 3}\sqrt{3}$

b)

$3\ _3\sqrt{3}$

c)

$2\ _3\sqrt{3}$

5.

$\sqrt{12}\cdot\ \sqrt{2}$

a)

$\sqrt{24}$

b)

$2\sqrt{6}$

c)

$4\sqrt{6}$

6.

$\sqrt{2x^6y^5}\cdot\ \sqrt{2x^2y}$

a)

$2x^4y^3$

b)

$4x^8y^6$

c)

$\sqrt{2x^4y^3}$

7.

$2\ \ _3\sqrt{8}\ -3\ _3\sqrt{2}$

a)

$_3\sqrt{2}$

b)

$4-_{\ 3}\sqrt{2}$

c)

$\sqrt{2}$

8.

Like radicals are radicals with the same indices and same radicands.

a)

TRUE

b)

FALSE

9.

$\sqrt{x\ }\cdot\ \sqrt{y}\ =\ \sqrt{xy}$

a)

TRUE

b)

FALSE

10.

$\sqrt{\frac{a}{b}}=\ \frac{\sqrt{a}}{\sqrt{b}}$

a)

TRUE

b)

FALSE

11.

$\frac{\sqrt{16x^5}}{\sqrt{2x}}$

a)

$\sqrt{8x^4}$

b)

$2x\sqrt{2}$

c)

$2x^2\sqrt{2}$

12.

To add and subtract radicals, add and subtract like radicals or similar radicals.

a)

TRUE

b)

FALSE

13.

$\sqrt{\frac{1}{2}}$

a)

$\frac{1}{\sqrt{2}}$

b)

$\frac{\sqrt{2}}{2}$

c)

$\frac{\sqrt{2}}{4}$

14.

$\sqrt{9x^5yz^3}\cdot\ \sqrt{2xyz}$

a)

$3x^3yz^2\ \sqrt{2}$

b)

$18x^6y^2z^4$

c)

$9x^3yz^2\ \sqrt{2}$

15.

$\frac{\sqrt{9xy}}{\sqrt{2x}}$

a)

$\frac{x\sqrt{18y}}{2x}$

b)

$\frac{\sqrt{18x^2y}}{2x}$

c)

$\frac{3\sqrt{2y}}{2}$

16.

1. You can combine radicals with different indices.

a)

TRUE

b)

FALSE

17.

2. Adding and subtracting radical expressions is very much similar to adding and subtracting similar terms of polynomials.

a)

TRUE

b)

FALSE

18.

4. Rationalizing is necessary for the division of radicals.

a)

TRUE

b)

FALSE

19.

To multiply radical expressions with more than one term, use the associative property to remove parenthesis.

a)

TRUE

b)

FALSE

20.

We add or subtract the indices and retain the radicand when we combine similar radicals.

a)

TRUE

b)

FALSE

21.

$2\ \sqrt{7}\ -5\ \sqrt{7}$

a)

$3\sqrt{7}$

b)

$-3\sqrt{7}$

c)

$7\sqrt{7}$

22.

$2\ \sqrt{7}\ -5\ \sqrt{7}$

a)

$3\sqrt{7}$

b)

$-3\sqrt{7}$

c)

$7\sqrt{7}$

23.

$2\sqrt{8}\ +\ 3\sqrt{2}$

a)

$4\sqrt{2}$

b)

$7\sqrt{2}$

c)

$5\sqrt{2}$

24.

$5\sqrt{6}\ +\ 8\ \sqrt{6}-\ 3\sqrt{6}$

a)

$10\sqrt{6}$

b)

$16\sqrt{6}$

c)

$\sqrt{6}$

25.

$_3\sqrt{81}\ +\ _3\sqrt{3}$

a)

$4_{\ \ 3}\sqrt{3}$

b)

$3\ _3\sqrt{3}$

c)

$2\ _3\sqrt{3}$

26.

$\sqrt{12}\cdot\ \sqrt{2}$

a)

$\sqrt{24}$

b)

$2\sqrt{6}$

c)

$4\sqrt{6}$

27.

$\sqrt{2x^6y^5}\cdot\ \sqrt{2x^2y}$

a)

$2x^4y^3$

b)

$4x^8y^6$

c)

$\sqrt{2x^4y^3}$

28.

Like radicals are radicals with the same indices and same radicands.

a)

TRUE

b)

FALSE

29.

$\sqrt{x\ }\cdot\ \sqrt{y}\ =\ \sqrt{xy}$

a)

TRUE

b)

FALSE

30.

$\sqrt{\frac{a}{b}}=\ \frac{\sqrt{a}}{\sqrt{b}}$

a)

TRUE

b)

FALSE

31.

$\frac{\sqrt{16x^5}}{\sqrt{2x}}$

a)

$\sqrt{8x^4}$

b)

$2x\sqrt{2}$

c)

$2x^2\sqrt{2}$

32.

To add and subtract radicals, add and subtract like radicals or similar radicals.

a)

TRUE

b)

FALSE

33.

$\sqrt{\frac{1}{2}}$

a)

$\frac{1}{\sqrt{2}}$

b)

$\frac{\sqrt{2}}{2}$

c)

$\frac{\sqrt{2}}{4}$

34.

$\sqrt{9x^5yz^3}\cdot\ \sqrt{2xyz}$

a)

$3x^3yz^2\ \sqrt{2}$

b)

$18x^6y^2z^4$

c)

$9x^3yz^2\ \sqrt{2}$

35.

$\frac{\sqrt{9xy}}{\sqrt{2x}}$

a)

$\frac{x\sqrt{18y}}{2x}$

b)

$\frac{\sqrt{18x^2y}}{2x}$

c)

$\frac{3\sqrt{2y}}{2}$

36.

The number under the radical sign or square root sign is called the ______.

a)

radical sign

b)

radicand

c)

factor

d)

exponent

37.

True or False: The following list contains only perfect squares.
1, 4, 9, 27, 81, 100

a)

True

b)

False

38.

√1

a)

4

b)

1

c)

6

d)

no solution

39.

√24

a)

4√6

b)

2√6

c)

6√2

d)

2√12

40.

√121

a)

11

b)

12

c)

21

d)

121

41.

Simplify √300

a)

4√6

b)

3√100

c)

3√10

d)

10√3

42.

Rewrite using radicals:
y^3/2

a)

∛y²

b)

√y³

c)

3/2√y

d)

2/3√y

43.

Simplify the following radical: 2√24

a)

4√6

b)

2√6

c)

24√2

d)

4√4

44.

Simplify:
√100

a)

1

b)

10

c)

10²

d)

Already simplified

45.

Simplify:
√45

a)

9√5

b)

3√5

c)

5√9

d)

3√15

46.

TRUE or FALSE.

Similar radicals can be added or subtracted.

a)

TRUE

b)

FALSE

47.

TRUE or FALSE.

The first step in adding or subtracting similar radicals is to combine like terms.

a)

TRUE

b)

FALSE

48.

TRUE or FALSE.

Similar radicals are expression with different index and radicand.

a)

TRUE

b)

FALSE

49.

TRUE or FALSE.

Dissimilar radicals cannot be added or subtracted.

a)

TRUE

b)

FALSE

50.

TRUE or FALSE

To add similar radicals, add the coefficient then multiply the radicand.

a)

TRUE

b)

FALSE

51.

TRUE or FALSE

Factoring is also used in adding or subtracting dissimilar radicals.

a)

TRUE

b)

FALSE

52.

TRUE OR FALSE

To add or subtract radical expression having fractional radicand you need to rationalize the denominator before simplifying.

a)

TRUE

b)

FALSE

53.

TRUE or FALSE

You cannot add or subtract radical expression if they have different indices and the same radicand.

a)

TRUE

b)

FALSE

54.

TRUE OR FALSE

Rationalizing the denominator is also used in adding or subtracting similar radicals.

a)

TRUE

b)

FALSE

55.

TRUE OR FALSE

The last step in adding or subtracting radical expression is to reduce the answer in its simplest form.

a)

TRUE

b)

FALSE

56.

SIMPLIFY

$\sqrt[]{12}$

a)

$4\sqrt[]{3}$

b)

$2\sqrt[]{3}$

c)

$3\sqrt[]{2}$

57.

SIMPLIFY

$\sqrt[]{27}$

a)

$3\sqrt[]{3}$

b)

$3\sqrt[]{2}$

c)

$9\sqrt[]{3}$

58.

SIMPLIFY

$\sqrt[]{242}$

a)

$11\sqrt[]{3}$

b)

$12\sqrt[]{2}$

c)

$11\sqrt[]{2}$

59.

SIMPLIFY

$\sqrt[]{x^2y_{ }^2z^3}$

a)

$xyz\sqrt[]{z}$

b)

$\sqrt[]{xyz}$

c)

$xyz$

60.

SIMPLIFY

$\sqrt[]{9x^4p^6m^3}$

a)

$9x^2p^3m\sqrt[]{m}$

b)

$3x^2p^3m$

c)

$3x^2p^3m\sqrt[]{m}$

61.

ADD OR SUBTRACT

$4\sqrt[]{8}+3\sqrt[]{8}-2\sqrt[]{8}$

a)

$5\sqrt[]{8}$

b)

$10\sqrt[]{2}$

c)

$10$

62.

$11\sqrt[]{5}+9\sqrt[]{5}-17\sqrt[]{5}$

a)

15

b)

$3\sqrt[]{5}$

c)

$3\sqrt[]{15}$

63.

ADD

$4\sqrt[]{27}+3\sqrt[]{75}$

a)

$-3\sqrt[]{3}$

b)

$27\sqrt[]{3}$

64.

$\sqrt[]{121ab}+\sqrt[]{144ab}-\sqrt[]{225ab}$

a)

$8\sqrt[]{ab}$

b)

$8$

c)

$38\sqrt[]{ab}$

65.

SUBTRACT

$2\sqrt[]{12}-3\sqrt[]{27}$

a)

$-15\sqrt[]{3}$

b)

$5\sqrt[]{3}$

c)

$-5\sqrt[]{3}$

MATH RADICALS MONTHLY EXAM JOSHUA 9

Total questions: 65

Worksheet time: 59mins

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