Giúp em với:
(2^17 + 17^2) . (9^15 - 3^15) . (2^4 - 4^2)
( 2^17+17^2)×(9^15-3^15)×(2^4-4^2)
Giúp mk vs
Tính
47 - [(39 . 24 - 52 . 42) : 14]
(217 + 172).(915 - 159)(42 - 24)
Giúp em với!!!!!!!!!!!!!!!!
Tính:
a.\(\sqrt{4+\sqrt{7}}\) - \(\sqrt{4-\sqrt{7}}\)
b.\(\sqrt{4-\sqrt{15}}\) - \(\sqrt{4+\sqrt{15}}\)
c.\(\sqrt{2+\sqrt{3}}\) + \(\sqrt{2-\sqrt{3}}\)
d.\(\sqrt{9+\sqrt{17}}\) - \(\sqrt{9-\sqrt{17}}\)
Mong mn giúp em bài này ạ .Em đang cần gấp !!
`a)sqrt{4+sqrt7}-sqrt{4-sqrt7}`
`=sqrt{(8+2sqrt7)/2}-sqrt{(8-2sqrt7)/2}`
`=sqrt{(7+2sqrt7+1)/2}-sqrt{(7-2sqrt7+1)/2}`
`=sqrt{(sqrt7+1)^2/2}-sqrt{(sqrt7-1)^2/2}`
`=(sqrt7+1)/sqrt2-(sqrt7-1)/sqrt2`
`=2/sqrt2=sqrt2`
`b)sqrt{4--sqrt15}-sqrt{4+sqrt15}`
`=sqrt{(8-2sqrt15)/2}-sqrt{(8+2sqrt15)/2}`
`=sqrt{(5-2sqrt{5.3}+3)/2}-sqrt{(5+2sqrt{5.3}+3)/2}`
`=sqrt{(sqrt5-sqrt3)^2/2}-sqrt{(sqrt5+sqrt3)^2/2}`
`=(sqrt5-sqrt3)/sqrt2-(sqrt5+sqrt3)/sqrt2`
`=(-2sqrt3)/sqrt2=-sqrt6`
`c)sqrt{2+sqrt3}+sqrt{2-sqrt3}`
`=sqrt{(4+2sqrt3)/2}+sqrt{(4-2sqrt3)/2}`
`=sqrt{(3+2sqrt3+1)/2}+sqrt{(3-2sqrt3+1)/2}`
`=sqrt{(sqrt3+1)^2/2}+sqrt{(sqrt3-1)^2/2}`
`=(sqrt3+1)/sqrt2+(sqrt3-1)/sqrt2`
`=(2sqrt3)/sqrt2=sqrt6`
`d)sqrt{9+sqrt17}-sqrt{9-sqrt17}`
`=sqrt{(18+2sqrt17)/2}-sqrt{(18-2sqrt17)/2}`
`=sqrt{(17+2sqrt17+1)/2}-sqrt{(17-2sqrt17+1)/2}`
`=sqrt{(sqrt17+1)^2/2}-sqrt{(sqrt17-1)^2/2}`
`=(sqrt17+1)/sqrt2-(sqrt17-1)/sqrt2`
`=2/sqrt2=sqrt2`
a: Ta có: \(\sqrt{4+\sqrt{7}}-\sqrt{4-\sqrt{7}}\)
\(=\dfrac{\sqrt{8+2\sqrt{7}}-\sqrt{8-2\sqrt{7}}}{\sqrt{2}}\)
\(=\dfrac{\sqrt{7}+1-\sqrt{7}+1}{\sqrt{2}}=\sqrt{2}\)
b: Ta có: \(\sqrt{4-\sqrt{15}}-\sqrt{4+\sqrt{15}}\)
\(=\dfrac{\sqrt{8-2\sqrt{15}}-\sqrt{8+2\sqrt{15}}}{\sqrt{2}}\)
\(=\dfrac{\sqrt{5}-\sqrt{3}-\sqrt{5}-\sqrt{3}}{\sqrt{2}}=-\sqrt{6}\)
(2^17+17^2).(9^15-3^15).(2^4-4^2)
(217 + 172).(915 - 315).(24 - 42)
= (217 + 172).(915 - 315).(16 - 16)
= (217 + 172).(915 - 315).0
= 0
(217 + 172) (915 - 315) (24 - 42)
= (217 + 172).(915 - 315).(16 - 16)
= (217 + 172).(915 - 315).0 = 0
(13/-10 - -4/13)+11/10 A=-5/9+8/15+ -2/11 + 4/-9 + 7/15 B=10/17-5/13- -7/17 - 8/13+11/25 (3/4-1/6):2/3 (31/10-5/2).3-2 Giải chi tiết giúp bngoc ạ cmon trước💖
a: =-5/9-4/9+8/15+7/15-2/11=-2/11
b: =10/17+7/17-5/13-8/13+11/25
=11/25
c: =(9/12-2/12)*3/2=7/12*3/2=21/24=7/8
d: =(31/10-25/10)*3-2
=3/5*3-2
=9/5-2
=-1/5
9 . 2 .23 + 18 . 23 + 3 . 6 .45
( 2^17 +15^4 ) . ( 3^19 - 2^17 ) . ( 2^4 - 4^2 )
Các bạn giúp mình nha!!! (^ v ^)
Bài 13: Dấu <, =, >
10 … 10 + 3
11 + 2…. 2 + 11
9 … 10 + 9
10 … 10 + 0
17 – 4 … 14 - 3
18 – 4 … 12
15 … 15 – 1
17 + 1… 17 + 2
12+ 5 … 16
16 … 19 - 3
15 – 4 … 10 + 1
19 – 3 … 11
10 < 10 + 3
11 + 2=2 + 11
9 < 10 + 9
10 = 10 + 0
17 – 4 > 14 - 3
18 – 4 >12
15 > 15 – 1
17 + 1<17 + 2
12+ 5 > 16
16 =19 - 3
15 – 4 =10 + 1
19 – 3 >11
giúp mình với minhk cần gấp
d, D= 2^13+2^5/2^10=2^2
e,E=11*3^22*3^7-9^15/(2*3^14)^2
f, F=(2^17+17^2)*(9^15-3^15)*(2^4-4^2)
g, G=7^1997-7^1995/7^1995
h,H=(1^2+2^3+3^4+4^5)*(1^3+2^3+3^3+4^3)*(3^8-81^2)
i, I=2^8+8^3/2^8
giúp mình đi cần gấp ai trả lời được mình sẽ k
( 2 mũ 17 + 17 mũ 2 ) . ( 9 mũ 15 - 3 mũ 15 ) . ( 2 mũ 4 - 4 mũ 2 )
2 mũ 4 - 4 mũ 2=16-16=0
( 2 mũ 17 + 17 mũ 2 ) . ( 9 mũ 15 - 3 mũ 15 ).0=0
đ/s: 0