Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????/
a. 278 - 321
= (33)8 - 321
= 324 - 321
= 321.(33 - 1)
= 321.(27 - 1)
= 321.26 chia hết cho 26
Vậy 278 - 321 chia hết cho 26 (Đpcm).
b. 812 - 233 - 230
= (23)12 - 233 - 230
= 236 - 233 - 230
= 26.230 - 23.230 - 230
= 230.(26 - 23 - 1)
= 230.(64 - 8 - 1)
= 230.55 chia hết cho 55
Vậy 812 - 2 33 - 230 chia hết cho 55 (Đpcm).
a ) 278 - 321
= ( 33)8 - 321
= 324 - 321
= 321 . ( 33 - 1 )
= 321 . ( 27 - 1 )
= 321 . 26 chia hết cho 26
Vậy 278 - 321 chia hết cho 26 ( Đpcm )
b ) 812 - 233- 230
= ( 23)12 - 233 - 230
= 236 - 233 - 230
= 26.230 - 23.230 - 230
= 230.(26 - 23 - 1 )
= 230.(64 - 8 -1 )
= 230.55 chia hết cho 55
Vậy 812 - 233 - 230 chia hết cho 55 ( Đpcm )
kick mk nha mk kick lại
\(A=\sqrt{\frac{5+\sqrt{21}}{5-\sqrt{21}}}+\sqrt{\frac{5-\sqrt{21}}{5+\sqrt{21}}}\)
\(=\sqrt{\frac{\left(5+\sqrt{21}\right)^2}{\left(5-\sqrt{21}\right)\left(5+\sqrt{21}\right)}}+\sqrt{\frac{\left(5-\sqrt{21}\right)^2}{\left(5-\sqrt{21}\right)\left(5+\sqrt{21}\right)}}\)
\(=\sqrt{\frac{\left(5+\sqrt{21}\right)^2}{4}}+\sqrt{\frac{\left(5-\sqrt{21}\right)^2}{4}}\)
\(=\frac{5+\sqrt{21}}{2}+\frac{5-\sqrt{21}}{2}=5\)
\(B=\sqrt{7+\sqrt{33}}+\sqrt{7-\sqrt{33}}\)
\(\Rightarrow\)\(\sqrt{2}B=\sqrt{14+2\sqrt{33}}+\sqrt{14-2\sqrt{33}}\)
\(=\sqrt{\left(\sqrt{11}+\sqrt{3}\right)^2}+\sqrt{\left(\sqrt{11}-\sqrt{3}\right)^2}\)
\(=\sqrt{11}+\sqrt{3}+\sqrt{11}-\sqrt{3}=2\sqrt{11}\)
\(\Rightarrow\)\(B=\sqrt{22}\)
\(A=\sqrt{5+\sqrt{21}}+\sqrt{5-\sqrt{21}}\)
\(A^2=\left(\sqrt{5+\sqrt{21}}^2+2\sqrt{\left(5+\sqrt{21}\right)\left(5-\sqrt{21}\right)}+\sqrt{5-\sqrt{21}}^2\right)\)
\(A^2=5+\sqrt{21}+\sqrt{4\left(5+\sqrt{21}\right)\left(5-\sqrt{21}\right)}+5-\sqrt{21}\)
\(A^2=10+\sqrt{4.\left(25-21\right)}\)
\(A^2=10+\sqrt{4.4}=10+4=14\)
\(A=\sqrt{14}\)
Tương tự
Cái đó là Trục căn thức á bạn
\(\frac{1}{3-2\sqrt{2}}=\frac{3+2\sqrt{2}}{\left(3-2\sqrt{2}\right)\left(3+2\sqrt{2}\right)}=\frac{3+2\sqrt{2}}{9-8}=3+2\sqrt{2}\)
\(\frac{1}{3-\sqrt{3}}=\frac{3+\sqrt{3}}{\left(3-\sqrt{3}\right)\left(3+\sqrt{3}\right)}=\frac{3+\sqrt{3}}{9-3}=\frac{3+\sqrt{3}}{6}\)