ta có : \(\frac{4^{17}+64}{4^{16}+16}=\frac{2^{34}+2^6}{2^{32}+2^4}=\frac{2^6\left(2^{28}+1\right)}{2^4\left(2^{28}+1\right)}=2^2=4\)

Ta có: \(\frac{4^{17}+64}{4^{16}+16}\) = \(\frac{2^{34}+2^6}{2^{32}+2^4}\) = \(\frac{2^6\left(2^{28}+1\right)}{2^4\left(2^{28}+1\right)}\) = \(\frac{2^6}{2^4}\) = \(\frac{64}{16}\) = 4

\(=\sqrt{7-2\sqrt{21}+3}+\sqrt{7+2\sqrt{21}+3}\)

\(=\sqrt{\sqrt{7}^2-2\sqrt{7}.\sqrt{3}+\sqrt{3}^2}+\sqrt{\sqrt{7}^2+2\sqrt{7}.\sqrt{3}+\sqrt{3}^2}\)

\(=\sqrt{\left(\sqrt{7}-\sqrt{3}\right)^2}+\sqrt{\left(\sqrt{7}+\sqrt{3}\right)^2}\)

\(=\left|\sqrt{7}-\sqrt{3}\right|+\left|\sqrt{7}+\sqrt{3}\right|\)

\(=\sqrt{7}-\sqrt{3}+\sqrt{7}+\sqrt{3}\)

\(=2\sqrt{7}\)

\(\sqrt{10-2\sqrt{21}}+\sqrt{10+2\sqrt{21}}\)

\(=\sqrt{7}-\sqrt{3}+\sqrt{7}+\sqrt{3}\)

\(=2\sqrt{7}\)

1.

\(B=20182018.2017-20172017.2018\)

\(B=2018.10001.2017-2017.10001.2018\)

\(B=0\)

1 B=20182018.2017-20172017.2018

B=2018.10001.2017-2017.10001.2018

B=0

2 C=1²+2²+3²+...+100²

C=1(1+0)+2(1+1)+3(1+2)+...+100(1+99)

C=1+2+1.2+3+2.3+...+100+99.100

C=(1+2+3+...+100)+(1.2+2.3+...+99.100)

C=[(1+100).100:2]+[(99.100.101):3]

C=5050+333300

C=338350

25.78 + 5² . 12 - 25 . 10

= 25 . 78 + 25 . 12 - 25 . 10

= 25 . ( 78 + 12 - 10 )

= 25 . 80

= 2000

\(25.78+5^2.12-25.10\)

\(=1950+300-250\)

\(=2000\)

\(k\)đi nha bạn

Ta có 17x(1313/5151+1111/3434):177/12

         =17x(13/51+11/34):59/4

         =17x(26/102+33/102)x4/59

         =17x59/102x4/59

         =59/6x4/59

         =4/6

         =2/3

k cho mình nha

\(17\times\left(\frac{1313}{5151}+\frac{1111}{3434}\right)\div\frac{177}{12}\)

\(=17\times\left(\frac{13}{51}+\frac{11}{34}\right)\div\frac{177}{12}\)

\(=17\times\frac{59}{102}\div\frac{177}{12}\)

\(=\frac{59}{6}\div\frac{177}{12}\)

\(=\frac{59}{6}\times\frac{12}{177}\)

\(=\frac{2}{3}\)