Respostas

2014-03-17T20:14:11-03:00
32)
 \sqrt{?} = 100? =  100^{2} =10000

 \sqrt[3]{?} = -8? =  (-8)^{3} = -512

 \sqrt[?]{64} =4 \sqrt[?]{ 2^{6} } =  2^{2} 2^{ \frac{6}{?} }  =  2^{2}  \frac{6}{?} =2?=3

\sqrt[?]{64} =2\sqrt[?]{ 2^{6} } = 2^{1}2^{ \frac{6}{?} } = 2^{1} \frac{6}{?} =1?=6

33)
 \sqrt{256} = \sqrt{ 2^{8} } = 2^{4} =16

 \sqrt{729} = \sqrt{ 3^{6} } = 3^{3} =27

 \sqrt[3]{343} =  \sqrt[3]{ 3^{5} } =3 \sqrt[3]{9}

 \sqrt[5]{1024} =  \sqrt[5]{ 2^{10} } = 2^{2} =4

\sqrt{1296} = \sqrt{ 2^{4}. 3^{4}  } = 2^{2}. 3^{2}  =4.9=36

\sqrt{1089} = \sqrt{ 3^{2}. 11^{2}  } = 3. 11  =33

34)
 \sqrt{ 3^{8} } = 3^{4} =81

 \sqrt[3]{ 10^{3} } =10

 \sqrt{ 2^{4} } = 2^{2} =4

 \sqrt{ 10^{6} } = 10^{3} =1000

 \sqrt[3]{ 2^{9} } = 2^{3} =8

 \sqrt[4]{ 5^{8} } = 5^{2} =25

35)
 \sqrt[3]{3375} = \sqrt[3]{ 3^{3}. 5^{3}  } =3.5=15

 \sqrt[4]{4096} = \sqrt[4]{ 2^{12}  } = 2^{3}= 8

5 \sqrt{196} = 5 \sqrt{ 2^{2} . 7^{2} } =5.2.7=70

-3 \sqrt{324} =-3 \sqrt{ 2^{2} . 3^{4} } =-3.2.9=-54

4 \sqrt[3]{216} =4 \sqrt[3]{ 2^{3} . 3^{3} } =4.2.3=24

 \sqrt[3]{ 2^{6} . 3^{2} . 5^{3} } = 2^{2} .5 \sqrt[3]{ 3^{2} } =20 \sqrt[3]{9}



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