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PANGKAT DAN AKAR contoh soal 5

Total questions: 10

Worksheet time: 25mins

Name
Class
Date
1.

 (3+2542)=...-\left(\sqrt{3}+2\sqrt{5}-4\sqrt{2}\right)=...  

a)

 325+42-\sqrt{3}-2\sqrt{5}+4\sqrt{2}  

b)

 3+2542-\sqrt{3}+2\sqrt{5}-4\sqrt{2}  

c)

 32542-\sqrt{3}-2\sqrt{5}-4\sqrt{2}  

2.

 2(532+43)= ...-2\left(\sqrt{5}-3\sqrt{2}+4\sqrt{3}\right)=\ ...  

a)

 256283-2\sqrt{5}-6\sqrt{2}-8\sqrt{3}  

b)

 25+3283-2\sqrt{5}+3\sqrt{2}-8\sqrt{3}  

c)

 2532+43-2\sqrt{5}-3\sqrt{2}+4\sqrt{3}  

d)

 25+32+43-2\sqrt{5}+3\sqrt{2}+4\sqrt{3}  

e)

 25+62+83-2\sqrt{5}+6\sqrt{2}+8\sqrt{3}  

3.

 3(2537+2)=...\sqrt{3}\left(2\sqrt{5}-3\sqrt{7}+\sqrt{2}\right)=...  

a)

 21597+62\sqrt{15}-9\sqrt{7}+\sqrt{6}  

b)

 28310+52\sqrt{8}-3\sqrt{10}+\sqrt{5}  

c)

 152213+2315\sqrt{2}-21\sqrt{3}+2\sqrt{3}  

d)

 215321+62\sqrt{15}-3\sqrt{21}+\sqrt{6}  

e)

 152213+615\sqrt{2}-21\sqrt{3}+\sqrt{6}  

4.

 32(233542)= ...3\sqrt{2}\left(2\sqrt{3}-3\sqrt{5}-4\sqrt{2}\right)=\ ...  

a)

 669101226\sqrt{6}-9\sqrt{10}-12\sqrt{2}  

b)

 66910246\sqrt{6}-9\sqrt{10}-24  

c)

 66910246\sqrt{6}-9\sqrt{10}-\sqrt{24}  

d)

 66910126\sqrt{6}-9\sqrt{10}-12  

5.

 53(22435)= ...-5\sqrt{3}\left(2\sqrt{2}-4\sqrt{3}-\sqrt{5}\right)=\ ...  

a)

 106+60515-10\sqrt{6}+60-5\sqrt{15}  

b)

 106203515-10\sqrt{6}-20\sqrt{3}-5\sqrt{15}  

c)

 10660515-10\sqrt{6}-60-5\sqrt{15}  

d)

 106203+515-10\sqrt{6}-20\sqrt{3}+5\sqrt{15}  

6.

 (53)(27)= ...\left(\sqrt{5}-\sqrt{3}\right)\left(\sqrt{2}-\sqrt{7}\right)=\ ...  

a)

 10+356+21\sqrt{10}+\sqrt{35}-\sqrt{6}+\sqrt{21}  

b)

 1035+621\sqrt{10}-\sqrt{35}+\sqrt{6}-\sqrt{21}  

c)

 10356+21\sqrt{10}-\sqrt{35}-\sqrt{6}+\sqrt{21}  

d)

 1035621\sqrt{10}-\sqrt{35}-\sqrt{6}-\sqrt{21}  

e)

 10+35+6+21\sqrt{10}+\sqrt{35}+\sqrt{6}+\sqrt{21}  

7.

 (2342)(3+52)= ...\left(2\sqrt{3}-4\sqrt{2}\right)\left(\sqrt{3}+5\sqrt{2}\right)=\ ...  

a)

 1463414\sqrt{6}-34  

b)

 14634-14\sqrt{6}-34  

c)

 66+346\sqrt{6}+34  

d)

 66346\sqrt{6}-34  

e)

 6634-6\sqrt{6}-34  

8.

 (53)(5+3)= ...\left(\sqrt{5}-\sqrt{3}\right)\left(\sqrt{5}+\sqrt{3}\right)=\ ...  



(a)  

9.

 (23+42)(2342)= ...\left(2\sqrt{3}+4\sqrt{2}\right)\left(2\sqrt{3}-4\sqrt{2}\right)=\ ...  



(a)  

10.

 (25)2 = ...\left(\sqrt{2}-\sqrt{5}\right)^2\ =\ ...  

a)

 3-3  

b)

 33  

c)

 3210-3-2\sqrt{10}  

d)

 72107-2\sqrt{10}  

e)

 3+2103+2\sqrt{10}