Free Printable CA_0.3_Roots and Radical

1.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

2.

Simplify the following

a)

11√5

b)

11√10

c)

5√5

d)

12√10

3.

Simplify the following

a)

17√2

b)

9√1

c)

9

d)

9√2

4.

Simplify this following form

a)

13√3

b)

10√30

c)

13√6

d)

11√3

5.

√5 × √10

a)

50

b)

2√5

c)

5√2

d)

5√10

6.

Simplify:

a)

1/5

b)

20/100

c)

2/10

d)

1/√25

7.

Simplify √45x⁴y⁷

a)

3x²y³√5

b)

9x²y³√5y

c)

3x²y³√5y

d)

3x⁴y⁷

8.

Simplify.
∜-81

a)

-9

b)

9

c)

3

d)

not possible

9.

Simplify the expression:

a)

√2 - 3√3

b)

2√-59

c)

-2√2 - 3√3

d)

-3.782

10.

Simplify the expression:

a)

6x²y² ∛3

b)

6xy² ∛6x²

c)

∛1296x⁵y⁶

d)

cannot combine; unlike radicand

11.

Is this statement True or False

$\sqrt{67}>8$

a)

True

b)

False

12.

Determine whether it is right triangle or not, if a given triangle has legs a = $\sqrt{6}$ , b = $\sqrt{15}$ , and hypotenuse c = $\sqrt{21}$

a)

Right Triangle

b)

Not Right Triangle

13.

Determine whether it is right triangle or not, if a given triangle has legs a = $4$ , b = $\sqrt{7}$ , and hypotenuse c = $\sqrt{11}$

a)

Right Triangle

b)

Not Right Triangle

14.

Simplify $\left(-\frac{27}{8}\right)^{\frac{2}{3}}$

a)

$-\frac{9}{4}$

b)

$\frac{9}{4}$

c)

$-\frac{27}{8}$

d)

none of these answers are correct

15.

Rationalise this following form

a)

b)

c)

none of these answers are correct

CA_0.3_Roots and Radical

Total questions: 15

Worksheet time: 1hrs 15mins

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