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operations

Total questions: 10

Worksheet time: 4mins

Name
Class
Date
1.

85+58\sqrt[]{5}+\sqrt[]{5}

a)

858\sqrt[]{5}

b)

959\sqrt[]{5}

c)

5\sqrt[]{5}

2.

523+2235\sqrt[3]{2}+2\sqrt[3]{2}

a)

7237\sqrt[3]{2}

b)

7467\sqrt[6]{4}

c)

7437\sqrt[3]{4}

3.

(x+2)(x2)\left(\sqrt[]{x}+\sqrt[]{2}\right)\left(\sqrt[]{x}-\sqrt[]{2}\right)

a)

x2x-2

b)

x+4x+4

c)

x4\sqrt[]{x}-4

4.

(23+2)(232)\left(2\sqrt[]{3}+\sqrt[]{2}\right)\left(2\sqrt[]{3}-\sqrt[]{2}\right)

a)

10

b)

4324\sqrt[]{3}-\sqrt[]{2}

c)

434\sqrt[]{3}

5.

1004\sqrt[]{\frac{100}{4}}

a)

55

b)

102\frac{10}{2}

c)

1010

6.

53+32235\sqrt[]{3}+3\sqrt[]{2}-2\sqrt[]{3}  

a)

33+223\sqrt[]{3}+2\sqrt[]{2}  

b)

33223\sqrt[]{3}-2\sqrt[]{2}  

c)

33+323\sqrt[]{3}+3\sqrt[]{2}  

d)

33323\sqrt[]{3}-3\sqrt[]{2}  

7.

2xy23+16xy532x4y23\sqrt[3]{2xy^2}+\sqrt[3]{16xy^5}-\sqrt[3]{2x^4y^2}  

a)

(1+2y+x)2xy23\left(1+2y+x\right)\sqrt[3]{2xy^2}  

b)

(1+2yx)2xy23\left(1+2y-x\right)\sqrt[3]{2xy^2}  

c)

(12yx)2xy23\left(1-2y-x\right)\sqrt[3]{2xy^2}  

d)

(12y+x)2xy23\left(1-2y+x\right)\sqrt[3]{2xy^2}  

8.

x(x+xyxy)\sqrt[]{x}\left(\sqrt[]{x}+x\sqrt[]{y}-\sqrt[]{xy}\right)  

a)

x(1+xy+y)x\left(1+\sqrt[]{xy}+\sqrt[]{y}\right)  

b)

x(1+xyy)x\left(1+\sqrt[]{xy}-\sqrt[]{y}\right)  

c)

x(1xy+y)x\left(1-\sqrt[]{xy}+\sqrt[]{y}\right)  

d)

x(1xyy)x\left(1-\sqrt[]{xy}-\sqrt[]{y}\right)  

9.

3 (6 15)\sqrt[]{3}\ \left(\sqrt[]{6}-\ \sqrt[]{15}\right)  

a)

3 2  3 53\ \sqrt[]{2}\ -\ 3\ \sqrt[]{5}  

b)

18  45\sqrt[]{18\ }-\ \sqrt[]{45}  

c)

3 6  3 153\ \sqrt[]{6}\ -\ 3\ \sqrt[]{15}  

10.

What is the radical conjugate needed to simplify 5687\frac{\sqrt[]{56}}{8-\sqrt[]{7}}  ?

a)

56-\sqrt[]{56}  

b)

56256^2  

c)

8+ 78+\ \sqrt[]{7}  

d)

78\sqrt[]{7}-8